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Simplifying 38 + -7r = 3(6 + -4r) 38 + -7r = (6 * 3 + -4r * 3) 38 + -7r = (18 + -12r) Solving 38 + -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. 38 + -7r + 12r = 18 + -12r + 12r Combine like terms: -7r + 12r = 5r 38 + 5r = 18 + -12r + 12r Combine like terms: -12r + 12r = 0 38 + 5r = 18 + 0 38 + 5r = 18 Add '-38' to each side of the equation. 38 + -38 + 5r = 18 + -38 Combine like terms: 38 + -38 = 0 0 + 5r = 18 + -38 5r = 18 + -38 Combine like terms: 18 + -38 = -20 5r = -20 Divide each side by '5'. r = -4 Simplifying r = -4
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