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Simplifying 7(6m + -5) + -7 = 40 + m Reorder the terms: 7(-5 + 6m) + -7 = 40 + m (-5 * 7 + 6m * 7) + -7 = 40 + m (-35 + 42m) + -7 = 40 + m Reorder the terms: -35 + -7 + 42m = 40 + m Combine like terms: -35 + -7 = -42 -42 + 42m = 40 + m Solving -42 + 42m = 40 + 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. -42 + 42m + -1m = 40 + m + -1m Combine like terms: 42m + -1m = 41m -42 + 41m = 40 + m + -1m Combine like terms: m + -1m = 0 -42 + 41m = 40 + 0 -42 + 41m = 40 Add '42' to each side of the equation. -42 + 42 + 41m = 40 + 42 Combine like terms: -42 + 42 = 0 0 + 41m = 40 + 42 41m = 40 + 42 Combine like terms: 40 + 42 = 82 41m = 82 Divide each side by '41'. m = 2 Simplifying m = 2
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