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Simplifying 4(r + -7) + 1 = 5(r + 3) + -26 Reorder the terms: 4(-7 + r) + 1 = 5(r + 3) + -26 (-7 * 4 + r * 4) + 1 = 5(r + 3) + -26 (-28 + 4r) + 1 = 5(r + 3) + -26 Reorder the terms: -28 + 1 + 4r = 5(r + 3) + -26 Combine like terms: -28 + 1 = -27 -27 + 4r = 5(r + 3) + -26 Reorder the terms: -27 + 4r = 5(3 + r) + -26 -27 + 4r = (3 * 5 + r * 5) + -26 -27 + 4r = (15 + 5r) + -26 Reorder the terms: -27 + 4r = 15 + -26 + 5r Combine like terms: 15 + -26 = -11 -27 + 4r = -11 + 5r Solving -27 + 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. -27 + 4r + -5r = -11 + 5r + -5r Combine like terms: 4r + -5r = -1r -27 + -1r = -11 + 5r + -5r Combine like terms: 5r + -5r = 0 -27 + -1r = -11 + 0 -27 + -1r = -11 Add '27' to each side of the equation. -27 + 27 + -1r = -11 + 27 Combine like terms: -27 + 27 = 0 0 + -1r = -11 + 27 -1r = -11 + 27 Combine like terms: -11 + 27 = 16 -1r = 16 Divide each side by '-1'. r = -16 Simplifying r = -16
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