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Simplifying 5[3 + 7m] + 1 = -51 [3 * 5 + 7m * 5] + 1 = -51 [15 + 35m] + 1 = -51 Reorder the terms: 15 + 1 + 35m = -51 Combine like terms: 15 + 1 = 16 16 + 35m = -51 Solving 16 + 35m = -51 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 35m = -51 + -16 Combine like terms: 16 + -16 = 0 0 + 35m = -51 + -16 35m = -51 + -16 Combine like terms: -51 + -16 = -67 35m = -67 Divide each side by '35'. m = -1.914285714 Simplifying m = -1.914285714
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