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Simplifying 5(r + -1) = 2(x + -4) * 6 Reorder the terms: 5(-1 + r) = 2(x + -4) * 6 (-1 * 5 + r * 5) = 2(x + -4) * 6 (-5 + 5r) = 2(x + -4) * 6 Reorder the terms: -5 + 5r = 2(-4 + x) * 6 Reorder the terms for easier multiplication: -5 + 5r = 2 * 6(-4 + x) Multiply 2 * 6 -5 + 5r = 12(-4 + x) -5 + 5r = (-4 * 12 + x * 12) -5 + 5r = (-48 + 12x) Solving -5 + 5r = -48 + 12x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5r = -48 + 5 + 12x Combine like terms: -5 + 5 = 0 0 + 5r = -48 + 5 + 12x 5r = -48 + 5 + 12x Combine like terms: -48 + 5 = -43 5r = -43 + 12x Divide each side by '5'. r = -8.6 + 2.4x Simplifying r = -8.6 + 2.4x
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