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Simplifying 4(4x + -3) + -1(m + -5) = -52 Reorder the terms: 4(-3 + 4x) + -1(m + -5) = -52 (-3 * 4 + 4x * 4) + -1(m + -5) = -52 (-12 + 16x) + -1(m + -5) = -52 Reorder the terms: -12 + 16x + -1(-5 + m) = -52 -12 + 16x + (-5 * -1 + m * -1) = -52 -12 + 16x + (5 + -1m) = -52 Reorder the terms: -12 + 5 + -1m + 16x = -52 Combine like terms: -12 + 5 = -7 -7 + -1m + 16x = -52 Solving -7 + -1m + 16x = -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 + -1m + 7 + 16x = -52 + 7 Reorder the terms: -7 + 7 + -1m + 16x = -52 + 7 Combine like terms: -7 + 7 = 0 0 + -1m + 16x = -52 + 7 -1m + 16x = -52 + 7 Combine like terms: -52 + 7 = -45 -1m + 16x = -45 Add '-16x' to each side of the equation. -1m + 16x + -16x = -45 + -16x Combine like terms: 16x + -16x = 0 -1m + 0 = -45 + -16x -1m = -45 + -16x Divide each side by '-1'. m = 45 + 16x Simplifying m = 45 + 16x
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