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Simplifying 5 + -7(m + 1) = -10m + 3 Reorder the terms: 5 + -7(1 + m) = -10m + 3 5 + (1 * -7 + m * -7) = -10m + 3 5 + (-7 + -7m) = -10m + 3 Combine like terms: 5 + -7 = -2 -2 + -7m = -10m + 3 Reorder the terms: -2 + -7m = 3 + -10m Solving -2 + -7m = 3 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -2 + -7m + 10m = 3 + -10m + 10m Combine like terms: -7m + 10m = 3m -2 + 3m = 3 + -10m + 10m Combine like terms: -10m + 10m = 0 -2 + 3m = 3 + 0 -2 + 3m = 3 Add '2' to each side of the equation. -2 + 2 + 3m = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 3m = 3 + 2 3m = 3 + 2 Combine like terms: 3 + 2 = 5 3m = 5 Divide each side by '3'. m = 1.666666667 Simplifying m = 1.666666667
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