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Simplifying -9(m + 3) + 6 = -7(m + 9) Reorder the terms: -9(3 + m) + 6 = -7(m + 9) (3 * -9 + m * -9) + 6 = -7(m + 9) (-27 + -9m) + 6 = -7(m + 9) Reorder the terms: -27 + 6 + -9m = -7(m + 9) Combine like terms: -27 + 6 = -21 -21 + -9m = -7(m + 9) Reorder the terms: -21 + -9m = -7(9 + m) -21 + -9m = (9 * -7 + m * -7) -21 + -9m = (-63 + -7m) Solving -21 + -9m = -63 + -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. -21 + -9m + 7m = -63 + -7m + 7m Combine like terms: -9m + 7m = -2m -21 + -2m = -63 + -7m + 7m Combine like terms: -7m + 7m = 0 -21 + -2m = -63 + 0 -21 + -2m = -63 Add '21' to each side of the equation. -21 + 21 + -2m = -63 + 21 Combine like terms: -21 + 21 = 0 0 + -2m = -63 + 21 -2m = -63 + 21 Combine like terms: -63 + 21 = -42 -2m = -42 Divide each side by '-2'. m = 21 Simplifying m = 21
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