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Simplifying -2(m + 5) + -9(7m + 3) = -66(m + 1) + 8 Reorder the terms: -2(5 + m) + -9(7m + 3) = -66(m + 1) + 8 (5 * -2 + m * -2) + -9(7m + 3) = -66(m + 1) + 8 (-10 + -2m) + -9(7m + 3) = -66(m + 1) + 8 Reorder the terms: -10 + -2m + -9(3 + 7m) = -66(m + 1) + 8 -10 + -2m + (3 * -9 + 7m * -9) = -66(m + 1) + 8 -10 + -2m + (-27 + -63m) = -66(m + 1) + 8 Reorder the terms: -10 + -27 + -2m + -63m = -66(m + 1) + 8 Combine like terms: -10 + -27 = -37 -37 + -2m + -63m = -66(m + 1) + 8 Combine like terms: -2m + -63m = -65m -37 + -65m = -66(m + 1) + 8 Reorder the terms: -37 + -65m = -66(1 + m) + 8 -37 + -65m = (1 * -66 + m * -66) + 8 -37 + -65m = (-66 + -66m) + 8 Reorder the terms: -37 + -65m = -66 + 8 + -66m Combine like terms: -66 + 8 = -58 -37 + -65m = -58 + -66m Solving -37 + -65m = -58 + -66m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '66m' to each side of the equation. -37 + -65m + 66m = -58 + -66m + 66m Combine like terms: -65m + 66m = 1m -37 + 1m = -58 + -66m + 66m Combine like terms: -66m + 66m = 0 -37 + 1m = -58 + 0 -37 + 1m = -58 Add '37' to each side of the equation. -37 + 37 + 1m = -58 + 37 Combine like terms: -37 + 37 = 0 0 + 1m = -58 + 37 1m = -58 + 37 Combine like terms: -58 + 37 = -21 1m = -21 Divide each side by '1'. m = -21 Simplifying m = -21
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