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Simplifying 347 = -3 + 7(6m + 8) Reorder the terms: 347 = -3 + 7(8 + 6m) 347 = -3 + (8 * 7 + 6m * 7) 347 = -3 + (56 + 42m) Combine like terms: -3 + 56 = 53 347 = 53 + 42m Solving 347 = 53 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 347 + -42m = 53 + 42m + -42m Combine like terms: 42m + -42m = 0 347 + -42m = 53 + 0 347 + -42m = 53 Add '-347' to each side of the equation. 347 + -347 + -42m = 53 + -347 Combine like terms: 347 + -347 = 0 0 + -42m = 53 + -347 -42m = 53 + -347 Combine like terms: 53 + -347 = -294 -42m = -294 Divide each side by '-42'. m = 7 Simplifying m = 7
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