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Simplifying 7(m + -4) = -34 + 6m Reorder the terms: 7(-4 + m) = -34 + 6m (-4 * 7 + m * 7) = -34 + 6m (-28 + 7m) = -34 + 6m Solving -28 + 7m = -34 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -28 + 7m + -6m = -34 + 6m + -6m Combine like terms: 7m + -6m = 1m -28 + 1m = -34 + 6m + -6m Combine like terms: 6m + -6m = 0 -28 + 1m = -34 + 0 -28 + 1m = -34 Add '28' to each side of the equation. -28 + 28 + 1m = -34 + 28 Combine like terms: -28 + 28 = 0 0 + 1m = -34 + 28 1m = -34 + 28 Combine like terms: -34 + 28 = -6 1m = -6 Divide each side by '1'. m = -6 Simplifying m = -6
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