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Simplifying -7m + -19 = -2 + 8(1 + -4m) Reorder the terms: -19 + -7m = -2 + 8(1 + -4m) -19 + -7m = -2 + (1 * 8 + -4m * 8) -19 + -7m = -2 + (8 + -32m) Combine like terms: -2 + 8 = 6 -19 + -7m = 6 + -32m Solving -19 + -7m = 6 + -32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32m' to each side of the equation. -19 + -7m + 32m = 6 + -32m + 32m Combine like terms: -7m + 32m = 25m -19 + 25m = 6 + -32m + 32m Combine like terms: -32m + 32m = 0 -19 + 25m = 6 + 0 -19 + 25m = 6 Add '19' to each side of the equation. -19 + 19 + 25m = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 25m = 6 + 19 25m = 6 + 19 Combine like terms: 6 + 19 = 25 25m = 25 Divide each side by '25'. m = 1 Simplifying m = 1
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