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Simplifying 33 + 6r = 3(-1 + 5r) + 9 33 + 6r = (-1 * 3 + 5r * 3) + 9 33 + 6r = (-3 + 15r) + 9 Reorder the terms: 33 + 6r = -3 + 9 + 15r Combine like terms: -3 + 9 = 6 33 + 6r = 6 + 15r Solving 33 + 6r = 6 + 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 + 6r + -15r = 6 + 15r + -15r Combine like terms: 6r + -15r = -9r 33 + -9r = 6 + 15r + -15r Combine like terms: 15r + -15r = 0 33 + -9r = 6 + 0 33 + -9r = 6 Add '-33' to each side of the equation. 33 + -33 + -9r = 6 + -33 Combine like terms: 33 + -33 = 0 0 + -9r = 6 + -33 -9r = 6 + -33 Combine like terms: 6 + -33 = -27 -9r = -27 Divide each side by '-9'. r = 3 Simplifying r = 3
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