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Simplifying -3(5r + 5) + 3(r + -8) = 0 Reorder the terms: -3(5 + 5r) + 3(r + -8) = 0 (5 * -3 + 5r * -3) + 3(r + -8) = 0 (-15 + -15r) + 3(r + -8) = 0 Reorder the terms: -15 + -15r + 3(-8 + r) = 0 -15 + -15r + (-8 * 3 + r * 3) = 0 -15 + -15r + (-24 + 3r) = 0 Reorder the terms: -15 + -24 + -15r + 3r = 0 Combine like terms: -15 + -24 = -39 -39 + -15r + 3r = 0 Combine like terms: -15r + 3r = -12r -39 + -12r = 0 Solving -39 + -12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -12r = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -12r = 0 + 39 -12r = 0 + 39 Combine like terms: 0 + 39 = 39 -12r = 39 Divide each side by '-12'. r = -3.25 Simplifying r = -3.25
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