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Simplifying 4(4m + -3) + -1(m + -5) = -52 Reorder the terms: 4(-3 + 4m) + -1(m + -5) = -52 (-3 * 4 + 4m * 4) + -1(m + -5) = -52 (-12 + 16m) + -1(m + -5) = -52 Reorder the terms: -12 + 16m + -1(-5 + m) = -52 -12 + 16m + (-5 * -1 + m * -1) = -52 -12 + 16m + (5 + -1m) = -52 Reorder the terms: -12 + 5 + 16m + -1m = -52 Combine like terms: -12 + 5 = -7 -7 + 16m + -1m = -52 Combine like terms: 16m + -1m = 15m -7 + 15m = -52 Solving -7 + 15m = -52 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 15m = -52 + 7 Combine like terms: -7 + 7 = 0 0 + 15m = -52 + 7 15m = -52 + 7 Combine like terms: -52 + 7 = -45 15m = -45 Divide each side by '15'. m = -3 Simplifying m = -3
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