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Simplifying 7(m + -21) + -6(4m + -13) = 84 Reorder the terms: 7(-21 + m) + -6(4m + -13) = 84 (-21 * 7 + m * 7) + -6(4m + -13) = 84 (-147 + 7m) + -6(4m + -13) = 84 Reorder the terms: -147 + 7m + -6(-13 + 4m) = 84 -147 + 7m + (-13 * -6 + 4m * -6) = 84 -147 + 7m + (78 + -24m) = 84 Reorder the terms: -147 + 78 + 7m + -24m = 84 Combine like terms: -147 + 78 = -69 -69 + 7m + -24m = 84 Combine like terms: 7m + -24m = -17m -69 + -17m = 84 Solving -69 + -17m = 84 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -17m = 84 + 69 Combine like terms: -69 + 69 = 0 0 + -17m = 84 + 69 -17m = 84 + 69 Combine like terms: 84 + 69 = 153 -17m = 153 Divide each side by '-17'. m = -9 Simplifying m = -9
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