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Simplifying 6(m + -27) + -7(4m + -30) = 1 Reorder the terms: 6(-27 + m) + -7(4m + -30) = 1 (-27 * 6 + m * 6) + -7(4m + -30) = 1 (-162 + 6m) + -7(4m + -30) = 1 Reorder the terms: -162 + 6m + -7(-30 + 4m) = 1 -162 + 6m + (-30 * -7 + 4m * -7) = 1 -162 + 6m + (210 + -28m) = 1 Reorder the terms: -162 + 210 + 6m + -28m = 1 Combine like terms: -162 + 210 = 48 48 + 6m + -28m = 1 Combine like terms: 6m + -28m = -22m 48 + -22m = 1 Solving 48 + -22m = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -22m = 1 + -48 Combine like terms: 48 + -48 = 0 0 + -22m = 1 + -48 -22m = 1 + -48 Combine like terms: 1 + -48 = -47 -22m = -47 Divide each side by '-22'. m = 2.136363636 Simplifying m = 2.136363636
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