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Simplifying 11m + -10 = 7(m + 10) + 4 Reorder the terms: -10 + 11m = 7(m + 10) + 4 Reorder the terms: -10 + 11m = 7(10 + m) + 4 -10 + 11m = (10 * 7 + m * 7) + 4 -10 + 11m = (70 + 7m) + 4 Reorder the terms: -10 + 11m = 70 + 4 + 7m Combine like terms: 70 + 4 = 74 -10 + 11m = 74 + 7m Solving -10 + 11m = 74 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -10 + 11m + -7m = 74 + 7m + -7m Combine like terms: 11m + -7m = 4m -10 + 4m = 74 + 7m + -7m Combine like terms: 7m + -7m = 0 -10 + 4m = 74 + 0 -10 + 4m = 74 Add '10' to each side of the equation. -10 + 10 + 4m = 74 + 10 Combine like terms: -10 + 10 = 0 0 + 4m = 74 + 10 4m = 74 + 10 Combine like terms: 74 + 10 = 84 4m = 84 Divide each side by '4'. m = 21 Simplifying m = 21
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