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Simplifying 21 + 6m = 6 + 7(6m + -3) Reorder the terms: 21 + 6m = 6 + 7(-3 + 6m) 21 + 6m = 6 + (-3 * 7 + 6m * 7) 21 + 6m = 6 + (-21 + 42m) Combine like terms: 6 + -21 = -15 21 + 6m = -15 + 42m Solving 21 + 6m = -15 + 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. 21 + 6m + -42m = -15 + 42m + -42m Combine like terms: 6m + -42m = -36m 21 + -36m = -15 + 42m + -42m Combine like terms: 42m + -42m = 0 21 + -36m = -15 + 0 21 + -36m = -15 Add '-21' to each side of the equation. 21 + -21 + -36m = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -36m = -15 + -21 -36m = -15 + -21 Combine like terms: -15 + -21 = -36 -36m = -36 Divide each side by '-36'. m = 1 Simplifying m = 1
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