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Simplifying 6(-1m + -8) + 4(6m + 4) = 2m + 13 + -4m Reorder the terms: 6(-8 + -1m) + 4(6m + 4) = 2m + 13 + -4m (-8 * 6 + -1m * 6) + 4(6m + 4) = 2m + 13 + -4m (-48 + -6m) + 4(6m + 4) = 2m + 13 + -4m Reorder the terms: -48 + -6m + 4(4 + 6m) = 2m + 13 + -4m -48 + -6m + (4 * 4 + 6m * 4) = 2m + 13 + -4m -48 + -6m + (16 + 24m) = 2m + 13 + -4m Reorder the terms: -48 + 16 + -6m + 24m = 2m + 13 + -4m Combine like terms: -48 + 16 = -32 -32 + -6m + 24m = 2m + 13 + -4m Combine like terms: -6m + 24m = 18m -32 + 18m = 2m + 13 + -4m Reorder the terms: -32 + 18m = 13 + 2m + -4m Combine like terms: 2m + -4m = -2m -32 + 18m = 13 + -2m Solving -32 + 18m = 13 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -32 + 18m + 2m = 13 + -2m + 2m Combine like terms: 18m + 2m = 20m -32 + 20m = 13 + -2m + 2m Combine like terms: -2m + 2m = 0 -32 + 20m = 13 + 0 -32 + 20m = 13 Add '32' to each side of the equation. -32 + 32 + 20m = 13 + 32 Combine like terms: -32 + 32 = 0 0 + 20m = 13 + 32 20m = 13 + 32 Combine like terms: 13 + 32 = 45 20m = 45 Divide each side by '20'. m = 2.25 Simplifying m = 2.25
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