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Simplifying 19 + -1(2m + 4) = 3 + 2m + -16 Reorder the terms: 19 + -1(4 + 2m) = 3 + 2m + -16 19 + (4 * -1 + 2m * -1) = 3 + 2m + -16 19 + (-4 + -2m) = 3 + 2m + -16 Combine like terms: 19 + -4 = 15 15 + -2m = 3 + 2m + -16 Reorder the terms: 15 + -2m = 3 + -16 + 2m Combine like terms: 3 + -16 = -13 15 + -2m = -13 + 2m Solving 15 + -2m = -13 + 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. 15 + -2m + -2m = -13 + 2m + -2m Combine like terms: -2m + -2m = -4m 15 + -4m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + -4m = -13 + 0 15 + -4m = -13 Add '-15' to each side of the equation. 15 + -15 + -4m = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -4m = -13 + -15 -4m = -13 + -15 Combine like terms: -13 + -15 = -28 -4m = -28 Divide each side by '-4'. m = 7 Simplifying m = 7
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