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Simplifying -6m + 6(5n + -10) = -1 + 6(4m + -11) Reorder the terms: -6m + 6(-10 + 5n) = -1 + 6(4m + -11) -6m + (-10 * 6 + 5n * 6) = -1 + 6(4m + -11) -6m + (-60 + 30n) = -1 + 6(4m + -11) Reorder the terms: -60 + -6m + 30n = -1 + 6(4m + -11) Reorder the terms: -60 + -6m + 30n = -1 + 6(-11 + 4m) -60 + -6m + 30n = -1 + (-11 * 6 + 4m * 6) -60 + -6m + 30n = -1 + (-66 + 24m) Combine like terms: -1 + -66 = -67 -60 + -6m + 30n = -67 + 24m Solving -60 + -6m + 30n = -67 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -60 + -6m + -24m + 30n = -67 + 24m + -24m Combine like terms: -6m + -24m = -30m -60 + -30m + 30n = -67 + 24m + -24m Combine like terms: 24m + -24m = 0 -60 + -30m + 30n = -67 + 0 -60 + -30m + 30n = -67 Add '60' to each side of the equation. -60 + -30m + 60 + 30n = -67 + 60 Reorder the terms: -60 + 60 + -30m + 30n = -67 + 60 Combine like terms: -60 + 60 = 0 0 + -30m + 30n = -67 + 60 -30m + 30n = -67 + 60 Combine like terms: -67 + 60 = -7 -30m + 30n = -7 Add '-30n' to each side of the equation. -30m + 30n + -30n = -7 + -30n Combine like terms: 30n + -30n = 0 -30m + 0 = -7 + -30n -30m = -7 + -30n Divide each side by '-30'. m = 0.2333333333 + n Simplifying m = 0.2333333333 + n
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