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Simplifying 33 + -7r = 3(6 + -4r) 33 + -7r = (6 * 3 + -4r * 3) 33 + -7r = (18 + -12r) Solving 33 + -7r = 18 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 33 + -7r + 12r = 18 + -12r + 12r Combine like terms: -7r + 12r = 5r 33 + 5r = 18 + -12r + 12r Combine like terms: -12r + 12r = 0 33 + 5r = 18 + 0 33 + 5r = 18 Add '-33' to each side of the equation. 33 + -33 + 5r = 18 + -33 Combine like terms: 33 + -33 = 0 0 + 5r = 18 + -33 5r = 18 + -33 Combine like terms: 18 + -33 = -15 5r = -15 Divide each side by '5'. r = -3 Simplifying r = -3
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