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Simplifying -33 + 7r = 3(-3 + 5r) -33 + 7r = (-3 * 3 + 5r * 3) -33 + 7r = (-9 + 15r) Solving -33 + 7r = -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. -33 + 7r + -15r = -9 + 15r + -15r Combine like terms: 7r + -15r = -8r -33 + -8r = -9 + 15r + -15r Combine like terms: 15r + -15r = 0 -33 + -8r = -9 + 0 -33 + -8r = -9 Add '33' to each side of the equation. -33 + 33 + -8r = -9 + 33 Combine like terms: -33 + 33 = 0 0 + -8r = -9 + 33 -8r = -9 + 33 Combine like terms: -9 + 33 = 24 -8r = 24 Divide each side by '-8'. r = -3 Simplifying r = -3
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