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Simplifying -7(m + -7) + 1 = -16 + 4m Reorder the terms: -7(-7 + m) + 1 = -16 + 4m (-7 * -7 + m * -7) + 1 = -16 + 4m (49 + -7m) + 1 = -16 + 4m Reorder the terms: 49 + 1 + -7m = -16 + 4m Combine like terms: 49 + 1 = 50 50 + -7m = -16 + 4m Solving 50 + -7m = -16 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 50 + -7m + -4m = -16 + 4m + -4m Combine like terms: -7m + -4m = -11m 50 + -11m = -16 + 4m + -4m Combine like terms: 4m + -4m = 0 50 + -11m = -16 + 0 50 + -11m = -16 Add '-50' to each side of the equation. 50 + -50 + -11m = -16 + -50 Combine like terms: 50 + -50 = 0 0 + -11m = -16 + -50 -11m = -16 + -50 Combine like terms: -16 + -50 = -66 -11m = -66 Divide each side by '-11'. m = 6 Simplifying m = 6
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