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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 = 56 5r = 56 Divide each side by '5'. r = 11.2 Simplifying r = 11.2
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