Q:

Solve for 52=4(8m-5)-8(m-6)

Accepted Solution

A:
Answer:m = 1Explanation:1. Given: 52 = 4(8m - 5) - 8(m - 6)2. Distributive property on the two binomials: multiply 4 times each term inside the first binomial and multiply - 8 times each term inside the second binomial:    52 = 32m - 20 - 8m + 483. Combine like terms: 32m and -8m are a pair of like terms; - 20 and + 48 are other pair of like terms:52 = 24m + 284. Subtraction property of equality: subtract 28 from both sides:52 - 28 = 24m5. Simplify:24 = 24m6. Division property of equality: divide each side by 2424/24 = m7. Simplify:1 = m8. Symmetric property:m = 1