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Simplifying (2m + -3) + -5(7m + 6) = 2(m + 7) + -18 Reorder the terms: (-3 + 2m) + -5(7m + 6) = 2(m + 7) + -18 Remove parenthesis around (-3 + 2m) -3 + 2m + -5(7m + 6) = 2(m + 7) + -18 Reorder the terms: -3 + 2m + -5(6 + 7m) = 2(m + 7) + -18 -3 + 2m + (6 * -5 + 7m * -5) = 2(m + 7) + -18 -3 + 2m + (-30 + -35m) = 2(m + 7) + -18 Reorder the terms: -3 + -30 + 2m + -35m = 2(m + 7) + -18 Combine like terms: -3 + -30 = -33 -33 + 2m + -35m = 2(m + 7) + -18 Combine like terms: 2m + -35m = -33m -33 + -33m = 2(m + 7) + -18 Reorder the terms: -33 + -33m = 2(7 + m) + -18 -33 + -33m = (7 * 2 + m * 2) + -18 -33 + -33m = (14 + 2m) + -18 Reorder the terms: -33 + -33m = 14 + -18 + 2m Combine like terms: 14 + -18 = -4 -33 + -33m = -4 + 2m Solving -33 + -33m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -33 + -33m + -2m = -4 + 2m + -2m Combine like terms: -33m + -2m = -35m -33 + -35m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 -33 + -35m = -4 + 0 -33 + -35m = -4 Add '33' to each side of the equation. -33 + 33 + -35m = -4 + 33 Combine like terms: -33 + 33 = 0 0 + -35m = -4 + 33 -35m = -4 + 33 Combine like terms: -4 + 33 = 29 -35m = 29 Divide each side by '-35'. m = -0.8285714286 Simplifying m = -0.8285714286
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