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Simplifying 103 = 8(7 + -1m) + 7 103 = (7 * 8 + -1m * 8) + 7 103 = (56 + -8m) + 7 Reorder the terms: 103 = 56 + 7 + -8m Combine like terms: 56 + 7 = 63 103 = 63 + -8m Solving 103 = 63 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 103 + 8m = 63 + -8m + 8m Combine like terms: -8m + 8m = 0 103 + 8m = 63 + 0 103 + 8m = 63 Add '-103' to each side of the equation. 103 + -103 + 8m = 63 + -103 Combine like terms: 103 + -103 = 0 0 + 8m = 63 + -103 8m = 63 + -103 Combine like terms: 63 + -103 = -40 8m = -40 Divide each side by '8'. m = -5 Simplifying m = -5
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