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Simplifying -7(m + 3) = -6(m + 3) Reorder the terms: -7(3 + m) = -6(m + 3) (3 * -7 + m * -7) = -6(m + 3) (-21 + -7m) = -6(m + 3) Reorder the terms: -21 + -7m = -6(3 + m) -21 + -7m = (3 * -6 + m * -6) -21 + -7m = (-18 + -6m) Solving -21 + -7m = -18 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -21 + -7m + 6m = -18 + -6m + 6m Combine like terms: -7m + 6m = -1m -21 + -1m = -18 + -6m + 6m Combine like terms: -6m + 6m = 0 -21 + -1m = -18 + 0 -21 + -1m = -18 Add '21' to each side of the equation. -21 + 21 + -1m = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -1m = -18 + 21 -1m = -18 + 21 Combine like terms: -18 + 21 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3
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