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Simplifying -114 = -3(5r + 3) Reorder the terms: -114 = -3(3 + 5r) -114 = (3 * -3 + 5r * -3) -114 = (-9 + -15r) Solving -114 = -9 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -114 + 15r = -9 + -15r + 15r Combine like terms: -15r + 15r = 0 -114 + 15r = -9 + 0 -114 + 15r = -9 Add '114' to each side of the equation. -114 + 114 + 15r = -9 + 114 Combine like terms: -114 + 114 = 0 0 + 15r = -9 + 114 15r = -9 + 114 Combine like terms: -9 + 114 = 105 15r = 105 Divide each side by '15'. r = 7 Simplifying r = 7
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