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Simplifying 11(m + -6) = -3(m + -6) Reorder the terms: 11(-6 + m) = -3(m + -6) (-6 * 11 + m * 11) = -3(m + -6) (-66 + 11m) = -3(m + -6) Reorder the terms: -66 + 11m = -3(-6 + m) -66 + 11m = (-6 * -3 + m * -3) -66 + 11m = (18 + -3m) Solving -66 + 11m = 18 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -66 + 11m + 3m = 18 + -3m + 3m Combine like terms: 11m + 3m = 14m -66 + 14m = 18 + -3m + 3m Combine like terms: -3m + 3m = 0 -66 + 14m = 18 + 0 -66 + 14m = 18 Add '66' to each side of the equation. -66 + 66 + 14m = 18 + 66 Combine like terms: -66 + 66 = 0 0 + 14m = 18 + 66 14m = 18 + 66 Combine like terms: 18 + 66 = 84 14m = 84 Divide each side by '14'. m = 6 Simplifying m = 6
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