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Simplifying 4(2m + -4) = 19 + m Reorder the terms: 4(-4 + 2m) = 19 + m (-4 * 4 + 2m * 4) = 19 + m (-16 + 8m) = 19 + m Solving -16 + 8m = 19 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -16 + 8m + -1m = 19 + m + -1m Combine like terms: 8m + -1m = 7m -16 + 7m = 19 + m + -1m Combine like terms: m + -1m = 0 -16 + 7m = 19 + 0 -16 + 7m = 19 Add '16' to each side of the equation. -16 + 16 + 7m = 19 + 16 Combine like terms: -16 + 16 = 0 0 + 7m = 19 + 16 7m = 19 + 16 Combine like terms: 19 + 16 = 35 7m = 35 Divide each side by '7'. m = 5 Simplifying m = 5
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