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Simplifying 34 = -2(23 + -1m) + 4(m + -4) 34 = (23 * -2 + -1m * -2) + 4(m + -4) 34 = (-46 + 2m) + 4(m + -4) Reorder the terms: 34 = -46 + 2m + 4(-4 + m) 34 = -46 + 2m + (-4 * 4 + m * 4) 34 = -46 + 2m + (-16 + 4m) Reorder the terms: 34 = -46 + -16 + 2m + 4m Combine like terms: -46 + -16 = -62 34 = -62 + 2m + 4m Combine like terms: 2m + 4m = 6m 34 = -62 + 6m Solving 34 = -62 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 34 + -6m = -62 + 6m + -6m Combine like terms: 6m + -6m = 0 34 + -6m = -62 + 0 34 + -6m = -62 Add '-34' to each side of the equation. 34 + -34 + -6m = -62 + -34 Combine like terms: 34 + -34 = 0 0 + -6m = -62 + -34 -6m = -62 + -34 Combine like terms: -62 + -34 = -96 -6m = -96 Divide each side by '-6'. m = 16 Simplifying m = 16
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