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Simplifying -6m + -19 = -5 + 4(m + 4) Reorder the terms: -19 + -6m = -5 + 4(m + 4) Reorder the terms: -19 + -6m = -5 + 4(4 + m) -19 + -6m = -5 + (4 * 4 + m * 4) -19 + -6m = -5 + (16 + 4m) Combine like terms: -5 + 16 = 11 -19 + -6m = 11 + 4m Solving -19 + -6m = 11 + 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 = 11 + 4m + -4m Combine like terms: -6m + -4m = -10m -19 + -10m = 11 + 4m + -4m Combine like terms: 4m + -4m = 0 -19 + -10m = 11 + 0 -19 + -10m = 11 Add '19' to each side of the equation. -19 + 19 + -10m = 11 + 19 Combine like terms: -19 + 19 = 0 0 + -10m = 11 + 19 -10m = 11 + 19 Combine like terms: 11 + 19 = 30 -10m = 30 Divide each side by '-10'. m = -3 Simplifying m = -3
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