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Simplifying -6(5m + 5) = -7(m + 4) + -2 Reorder the terms: -6(5 + 5m) = -7(m + 4) + -2 (5 * -6 + 5m * -6) = -7(m + 4) + -2 (-30 + -30m) = -7(m + 4) + -2 Reorder the terms: -30 + -30m = -7(4 + m) + -2 -30 + -30m = (4 * -7 + m * -7) + -2 -30 + -30m = (-28 + -7m) + -2 Reorder the terms: -30 + -30m = -28 + -2 + -7m Combine like terms: -28 + -2 = -30 -30 + -30m = -30 + -7m Add '30' to each side of the equation. -30 + 30 + -30m = -30 + 30 + -7m Combine like terms: -30 + 30 = 0 0 + -30m = -30 + 30 + -7m -30m = -30 + 30 + -7m Combine like terms: -30 + 30 = 0 -30m = 0 + -7m -30m = -7m Solving -30m = -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -30m + 7m = -7m + 7m Combine like terms: -30m + 7m = -23m -23m = -7m + 7m Combine like terms: -7m + 7m = 0 -23m = 0 Divide each side by '-23'. m = 0 Simplifying m = 0
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