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Simplifying -3(m + -1) + 8(m + -3) = 6x + 7 + -5x Reorder the terms: -3(-1 + m) + 8(m + -3) = 6x + 7 + -5x (-1 * -3 + m * -3) + 8(m + -3) = 6x + 7 + -5x (3 + -3m) + 8(m + -3) = 6x + 7 + -5x Reorder the terms: 3 + -3m + 8(-3 + m) = 6x + 7 + -5x 3 + -3m + (-3 * 8 + m * 8) = 6x + 7 + -5x 3 + -3m + (-24 + 8m) = 6x + 7 + -5x Reorder the terms: 3 + -24 + -3m + 8m = 6x + 7 + -5x Combine like terms: 3 + -24 = -21 -21 + -3m + 8m = 6x + 7 + -5x Combine like terms: -3m + 8m = 5m -21 + 5m = 6x + 7 + -5x Reorder the terms: -21 + 5m = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -21 + 5m = 7 + 1x Solving -21 + 5m = 7 + 1x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 5m = 7 + 21 + 1x Combine like terms: -21 + 21 = 0 0 + 5m = 7 + 21 + 1x 5m = 7 + 21 + 1x Combine like terms: 7 + 21 = 28 5m = 28 + 1x Divide each side by '5'. m = 5.6 + 0.2x Simplifying m = 5.6 + 0.2x
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