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Simplifying 19 + -1(4m + 8) = 5 + 4m + -18 Reorder the terms: 19 + -1(8 + 4m) = 5 + 4m + -18 19 + (8 * -1 + 4m * -1) = 5 + 4m + -18 19 + (-8 + -4m) = 5 + 4m + -18 Combine like terms: 19 + -8 = 11 11 + -4m = 5 + 4m + -18 Reorder the terms: 11 + -4m = 5 + -18 + 4m Combine like terms: 5 + -18 = -13 11 + -4m = -13 + 4m Solving 11 + -4m = -13 + 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. 11 + -4m + -4m = -13 + 4m + -4m Combine like terms: -4m + -4m = -8m 11 + -8m = -13 + 4m + -4m Combine like terms: 4m + -4m = 0 11 + -8m = -13 + 0 11 + -8m = -13 Add '-11' to each side of the equation. 11 + -11 + -8m = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -8m = -13 + -11 -8m = -13 + -11 Combine like terms: -13 + -11 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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