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Simplifying -6(m + -4) = 19 + -7m Reorder the terms: -6(-4 + m) = 19 + -7m (-4 * -6 + m * -6) = 19 + -7m (24 + -6m) = 19 + -7m Solving 24 + -6m = 19 + -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. 24 + -6m + 7m = 19 + -7m + 7m Combine like terms: -6m + 7m = 1m 24 + 1m = 19 + -7m + 7m Combine like terms: -7m + 7m = 0 24 + 1m = 19 + 0 24 + 1m = 19 Add '-24' to each side of the equation. 24 + -24 + 1m = 19 + -24 Combine like terms: 24 + -24 = 0 0 + 1m = 19 + -24 1m = 19 + -24 Combine like terms: 19 + -24 = -5 1m = -5 Divide each side by '1'. m = -5 Simplifying m = -5
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