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Simplifying 6(-4r + -5) = 114 Reorder the terms: 6(-5 + -4r) = 114 (-5 * 6 + -4r * 6) = 114 (-30 + -24r) = 114 Solving -30 + -24r = 114 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -24r = 114 + 30 Combine like terms: -30 + 30 = 0 0 + -24r = 114 + 30 -24r = 114 + 30 Combine like terms: 114 + 30 = 144 -24r = 144 Divide each side by '-24'. r = -6 Simplifying r = -6
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