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Simplifying -4r + 38 = -1(-1r + -3) Reorder the terms: 38 + -4r = -1(-1r + -3) Reorder the terms: 38 + -4r = -1(-3 + -1r) 38 + -4r = (-3 * -1 + -1r * -1) 38 + -4r = (3 + 1r) Solving 38 + -4r = 3 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 38 + -4r + -1r = 3 + 1r + -1r Combine like terms: -4r + -1r = -5r 38 + -5r = 3 + 1r + -1r Combine like terms: 1r + -1r = 0 38 + -5r = 3 + 0 38 + -5r = 3 Add '-38' to each side of the equation. 38 + -38 + -5r = 3 + -38 Combine like terms: 38 + -38 = 0 0 + -5r = 3 + -38 -5r = 3 + -38 Combine like terms: 3 + -38 = -35 -5r = -35 Divide each side by '-5'. r = 7 Simplifying r = 7
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