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Simplifying 4(r + -9) + 4 = 5(r + 3) + -26 Reorder the terms: 4(-9 + r) + 4 = 5(r + 3) + -26 (-9 * 4 + r * 4) + 4 = 5(r + 3) + -26 (-36 + 4r) + 4 = 5(r + 3) + -26 Reorder the terms: -36 + 4 + 4r = 5(r + 3) + -26 Combine like terms: -36 + 4 = -32 -32 + 4r = 5(r + 3) + -26 Reorder the terms: -32 + 4r = 5(3 + r) + -26 -32 + 4r = (3 * 5 + r * 5) + -26 -32 + 4r = (15 + 5r) + -26 Reorder the terms: -32 + 4r = 15 + -26 + 5r Combine like terms: 15 + -26 = -11 -32 + 4r = -11 + 5r Solving -32 + 4r = -11 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -32 + 4r + -5r = -11 + 5r + -5r Combine like terms: 4r + -5r = -1r -32 + -1r = -11 + 5r + -5r Combine like terms: 5r + -5r = 0 -32 + -1r = -11 + 0 -32 + -1r = -11 Add '32' to each side of the equation. -32 + 32 + -1r = -11 + 32 Combine like terms: -32 + 32 = 0 0 + -1r = -11 + 32 -1r = -11 + 32 Combine like terms: -11 + 32 = 21 -1r = 21 Divide each side by '-1'. r = -21 Simplifying r = -21
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