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Simplifying 7(-4m + 6) + -7m = 14 + -7m Reorder the terms: 7(6 + -4m) + -7m = 14 + -7m (6 * 7 + -4m * 7) + -7m = 14 + -7m (42 + -28m) + -7m = 14 + -7m Combine like terms: -28m + -7m = -35m 42 + -35m = 14 + -7m Solving 42 + -35m = 14 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 42 + -35m + 7m = 14 + -7m + 7m Combine like terms: -35m + 7m = -28m 42 + -28m = 14 + -7m + 7m Combine like terms: -7m + 7m = 0 42 + -28m = 14 + 0 42 + -28m = 14 Add '-42' to each side of the equation. 42 + -42 + -28m = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -28m = 14 + -42 -28m = 14 + -42 Combine like terms: 14 + -42 = -28 -28m = -28 Divide each side by '-28'. m = 1 Simplifying m = 1
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