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Simplifying -33 = -3(r + 5) + -3(-6r + 6) Reorder the terms: -33 = -3(5 + r) + -3(-6r + 6) -33 = (5 * -3 + r * -3) + -3(-6r + 6) -33 = (-15 + -3r) + -3(-6r + 6) Reorder the terms: -33 = -15 + -3r + -3(6 + -6r) -33 = -15 + -3r + (6 * -3 + -6r * -3) -33 = -15 + -3r + (-18 + 18r) Reorder the terms: -33 = -15 + -18 + -3r + 18r Combine like terms: -15 + -18 = -33 -33 = -33 + -3r + 18r Combine like terms: -3r + 18r = 15r -33 = -33 + 15r Add '33' to each side of the equation. -33 + 33 = -33 + 33 + 15r Combine like terms: -33 + 33 = 0 0 = -33 + 33 + 15r Combine like terms: -33 + 33 = 0 0 = 0 + 15r 0 = 15r Solving 0 = 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. 0 + -15r = 15r + -15r Remove the zero: -15r = 15r + -15r Combine like terms: 15r + -15r = 0 -15r = 0 Divide each side by '-15'. r = 0 Simplifying r = 0
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