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Simplifying -2(m + -6) + -5 = 2m + 19 Reorder the terms: -2(-6 + m) + -5 = 2m + 19 (-6 * -2 + m * -2) + -5 = 2m + 19 (12 + -2m) + -5 = 2m + 19 Reorder the terms: 12 + -5 + -2m = 2m + 19 Combine like terms: 12 + -5 = 7 7 + -2m = 2m + 19 Reorder the terms: 7 + -2m = 19 + 2m Solving 7 + -2m = 19 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 7 + -2m + -2m = 19 + 2m + -2m Combine like terms: -2m + -2m = -4m 7 + -4m = 19 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + -4m = 19 + 0 7 + -4m = 19 Add '-7' to each side of the equation. 7 + -7 + -4m = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = 19 + -7 -4m = 19 + -7 Combine like terms: 19 + -7 = 12 -4m = 12 Divide each side by '-4'. m = -3 Simplifying m = -3
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