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Simplifying 8(m + -5) + -8(5m + 4) = -33(m + 3) + 6 Reorder the terms: 8(-5 + m) + -8(5m + 4) = -33(m + 3) + 6 (-5 * 8 + m * 8) + -8(5m + 4) = -33(m + 3) + 6 (-40 + 8m) + -8(5m + 4) = -33(m + 3) + 6 Reorder the terms: -40 + 8m + -8(4 + 5m) = -33(m + 3) + 6 -40 + 8m + (4 * -8 + 5m * -8) = -33(m + 3) + 6 -40 + 8m + (-32 + -40m) = -33(m + 3) + 6 Reorder the terms: -40 + -32 + 8m + -40m = -33(m + 3) + 6 Combine like terms: -40 + -32 = -72 -72 + 8m + -40m = -33(m + 3) + 6 Combine like terms: 8m + -40m = -32m -72 + -32m = -33(m + 3) + 6 Reorder the terms: -72 + -32m = -33(3 + m) + 6 -72 + -32m = (3 * -33 + m * -33) + 6 -72 + -32m = (-99 + -33m) + 6 Reorder the terms: -72 + -32m = -99 + 6 + -33m Combine like terms: -99 + 6 = -93 -72 + -32m = -93 + -33m Solving -72 + -32m = -93 + -33m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '33m' to each side of the equation. -72 + -32m + 33m = -93 + -33m + 33m Combine like terms: -32m + 33m = 1m -72 + 1m = -93 + -33m + 33m Combine like terms: -33m + 33m = 0 -72 + 1m = -93 + 0 -72 + 1m = -93 Add '72' to each side of the equation. -72 + 72 + 1m = -93 + 72 Combine like terms: -72 + 72 = 0 0 + 1m = -93 + 72 1m = -93 + 72 Combine like terms: -93 + 72 = -21 1m = -21 Divide each side by '1'. m = -21 Simplifying m = -21
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