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Simplifying 6m + -19 = -3m + 7(m + -5) Reorder the terms: -19 + 6m = -3m + 7(m + -5) Reorder the terms: -19 + 6m = -3m + 7(-5 + m) -19 + 6m = -3m + (-5 * 7 + m * 7) -19 + 6m = -3m + (-35 + 7m) Reorder the terms: -19 + 6m = -35 + -3m + 7m Combine like terms: -3m + 7m = 4m -19 + 6m = -35 + 4m Solving -19 + 6m = -35 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -19 + 6m + -4m = -35 + 4m + -4m Combine like terms: 6m + -4m = 2m -19 + 2m = -35 + 4m + -4m Combine like terms: 4m + -4m = 0 -19 + 2m = -35 + 0 -19 + 2m = -35 Add '19' to each side of the equation. -19 + 19 + 2m = -35 + 19 Combine like terms: -19 + 19 = 0 0 + 2m = -35 + 19 2m = -35 + 19 Combine like terms: -35 + 19 = -16 2m = -16 Divide each side by '2'. m = -8 Simplifying m = -8
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