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Simplifying 8(8m + -3) + -1(m + -3) = -84 Reorder the terms: 8(-3 + 8m) + -1(m + -3) = -84 (-3 * 8 + 8m * 8) + -1(m + -3) = -84 (-24 + 64m) + -1(m + -3) = -84 Reorder the terms: -24 + 64m + -1(-3 + m) = -84 -24 + 64m + (-3 * -1 + m * -1) = -84 -24 + 64m + (3 + -1m) = -84 Reorder the terms: -24 + 3 + 64m + -1m = -84 Combine like terms: -24 + 3 = -21 -21 + 64m + -1m = -84 Combine like terms: 64m + -1m = 63m -21 + 63m = -84 Solving -21 + 63m = -84 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 + 63m = -84 + 21 Combine like terms: -21 + 21 = 0 0 + 63m = -84 + 21 63m = -84 + 21 Combine like terms: -84 + 21 = -63 63m = -63 Divide each side by '63'. m = -1 Simplifying m = -1
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