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Simplifying -3(5r + 3) = -9 + -3r Reorder the terms: -3(3 + 5r) = -9 + -3r (3 * -3 + 5r * -3) = -9 + -3r (-9 + -15r) = -9 + -3r Add '9' to each side of the equation. -9 + 9 + -15r = -9 + 9 + -3r Combine like terms: -9 + 9 = 0 0 + -15r = -9 + 9 + -3r -15r = -9 + 9 + -3r Combine like terms: -9 + 9 = 0 -15r = 0 + -3r -15r = -3r Solving -15r = -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -15r + 3r = -3r + 3r Combine like terms: -15r + 3r = -12r -12r = -3r + 3r Combine like terms: -3r + 3r = 0 -12r = 0 Divide each side by '-12'. r = 0 Simplifying r = 0
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