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Simplifying -7[1 + m] + -9 = -51 [1 * -7 + m * -7] + -9 = -51 [-7 + -7m] + -9 = -51 Reorder the terms: -7 + -9 + -7m = -51 Combine like terms: -7 + -9 = -16 -16 + -7m = -51 Solving -16 + -7m = -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 + -7m = -51 + 16 Combine like terms: -16 + 16 = 0 0 + -7m = -51 + 16 -7m = -51 + 16 Combine like terms: -51 + 16 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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