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Simplifying -4(r + -2) + -3 = -1(r + -1) + 4 Reorder the terms: -4(-2 + r) + -3 = -1(r + -1) + 4 (-2 * -4 + r * -4) + -3 = -1(r + -1) + 4 (8 + -4r) + -3 = -1(r + -1) + 4 Reorder the terms: 8 + -3 + -4r = -1(r + -1) + 4 Combine like terms: 8 + -3 = 5 5 + -4r = -1(r + -1) + 4 Reorder the terms: 5 + -4r = -1(-1 + r) + 4 5 + -4r = (-1 * -1 + r * -1) + 4 5 + -4r = (1 + -1r) + 4 Reorder the terms: 5 + -4r = 1 + 4 + -1r Combine like terms: 1 + 4 = 5 5 + -4r = 5 + -1r Add '-5' to each side of the equation. 5 + -5 + -4r = 5 + -5 + -1r Combine like terms: 5 + -5 = 0 0 + -4r = 5 + -5 + -1r -4r = 5 + -5 + -1r Combine like terms: 5 + -5 = 0 -4r = 0 + -1r -4r = -1r Solving -4r = -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -4r + r = -1r + r Combine like terms: -4r + r = -3r -3r = -1r + r Combine like terms: -1r + r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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