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Simplifying 180 + -7(m + -120) = 4(40m + -12) Reorder the terms: 180 + -7(-120 + m) = 4(40m + -12) 180 + (-120 * -7 + m * -7) = 4(40m + -12) 180 + (840 + -7m) = 4(40m + -12) Combine like terms: 180 + 840 = 1020 1020 + -7m = 4(40m + -12) Reorder the terms: 1020 + -7m = 4(-12 + 40m) 1020 + -7m = (-12 * 4 + 40m * 4) 1020 + -7m = (-48 + 160m) Solving 1020 + -7m = -48 + 160m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-160m' to each side of the equation. 1020 + -7m + -160m = -48 + 160m + -160m Combine like terms: -7m + -160m = -167m 1020 + -167m = -48 + 160m + -160m Combine like terms: 160m + -160m = 0 1020 + -167m = -48 + 0 1020 + -167m = -48 Add '-1020' to each side of the equation. 1020 + -1020 + -167m = -48 + -1020 Combine like terms: 1020 + -1020 = 0 0 + -167m = -48 + -1020 -167m = -48 + -1020 Combine like terms: -48 + -1020 = -1068 -167m = -1068 Divide each side by '-167'. m = 6.395209581 Simplifying m = 6.395209581
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