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Simplifying -10(7m + -4) + 6m = 11m + 10(m + 4) Reorder the terms: -10(-4 + 7m) + 6m = 11m + 10(m + 4) (-4 * -10 + 7m * -10) + 6m = 11m + 10(m + 4) (40 + -70m) + 6m = 11m + 10(m + 4) Combine like terms: -70m + 6m = -64m 40 + -64m = 11m + 10(m + 4) Reorder the terms: 40 + -64m = 11m + 10(4 + m) 40 + -64m = 11m + (4 * 10 + m * 10) 40 + -64m = 11m + (40 + 10m) Reorder the terms: 40 + -64m = 40 + 11m + 10m Combine like terms: 11m + 10m = 21m 40 + -64m = 40 + 21m Add '-40' to each side of the equation. 40 + -40 + -64m = 40 + -40 + 21m Combine like terms: 40 + -40 = 0 0 + -64m = 40 + -40 + 21m -64m = 40 + -40 + 21m Combine like terms: 40 + -40 = 0 -64m = 0 + 21m -64m = 21m Solving -64m = 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. -64m + -21m = 21m + -21m Combine like terms: -64m + -21m = -85m -85m = 21m + -21m Combine like terms: 21m + -21m = 0 -85m = 0 Divide each side by '-85'. m = 0 Simplifying m = 0
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