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Simplifying 5(r + -1) = 2(r + -4) * 6 Reorder the terms: 5(-1 + r) = 2(r + -4) * 6 (-1 * 5 + r * 5) = 2(r + -4) * 6 (-5 + 5r) = 2(r + -4) * 6 Reorder the terms: -5 + 5r = 2(-4 + r) * 6 Reorder the terms for easier multiplication: -5 + 5r = 2 * 6(-4 + r) Multiply 2 * 6 -5 + 5r = 12(-4 + r) -5 + 5r = (-4 * 12 + r * 12) -5 + 5r = (-48 + 12r) Solving -5 + 5r = -48 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -5 + 5r + -12r = -48 + 12r + -12r Combine like terms: 5r + -12r = -7r -5 + -7r = -48 + 12r + -12r Combine like terms: 12r + -12r = 0 -5 + -7r = -48 + 0 -5 + -7r = -48 Add '5' to each side of the equation. -5 + 5 + -7r = -48 + 5 Combine like terms: -5 + 5 = 0 0 + -7r = -48 + 5 -7r = -48 + 5 Combine like terms: -48 + 5 = -43 -7r = -43 Divide each side by '-7'. r = 6.142857143 Simplifying r = 6.142857143
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