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Simplifying 7(m + 3) = -4(m + 3) Reorder the terms: 7(3 + m) = -4(m + 3) (3 * 7 + m * 7) = -4(m + 3) (21 + 7m) = -4(m + 3) Reorder the terms: 21 + 7m = -4(3 + m) 21 + 7m = (3 * -4 + m * -4) 21 + 7m = (-12 + -4m) Solving 21 + 7m = -12 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 21 + 7m + 4m = -12 + -4m + 4m Combine like terms: 7m + 4m = 11m 21 + 11m = -12 + -4m + 4m Combine like terms: -4m + 4m = 0 21 + 11m = -12 + 0 21 + 11m = -12 Add '-21' to each side of the equation. 21 + -21 + 11m = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 11m = -12 + -21 11m = -12 + -21 Combine like terms: -12 + -21 = -33 11m = -33 Divide each side by '11'. m = -3 Simplifying m = -3
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