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Simplifying 34 = -2(22 + -1m) + 3(3 + -4) 34 = (22 * -2 + -1m * -2) + 3(3 + -4) 34 = (-44 + 2m) + 3(3 + -4) Combine like terms: 3 + -4 = -1 34 = -44 + 2m + 3(-1) Multiply 3 * -1 34 = -44 + 2m + -3 Reorder the terms: 34 = -44 + -3 + 2m Combine like terms: -44 + -3 = -47 34 = -47 + 2m Solving 34 = -47 + 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. 34 + -2m = -47 + 2m + -2m Combine like terms: 2m + -2m = 0 34 + -2m = -47 + 0 34 + -2m = -47 Add '-34' to each side of the equation. 34 + -34 + -2m = -47 + -34 Combine like terms: 34 + -34 = 0 0 + -2m = -47 + -34 -2m = -47 + -34 Combine like terms: -47 + -34 = -81 -2m = -81 Divide each side by '-2'. m = 40.5 Simplifying m = 40.5
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