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Simplifying -28 = -1(r + -4) + 7(7 + 4r) Reorder the terms: -28 = -1(-4 + r) + 7(7 + 4r) -28 = (-4 * -1 + r * -1) + 7(7 + 4r) -28 = (4 + -1r) + 7(7 + 4r) -28 = 4 + -1r + (7 * 7 + 4r * 7) -28 = 4 + -1r + (49 + 28r) Reorder the terms: -28 = 4 + 49 + -1r + 28r Combine like terms: 4 + 49 = 53 -28 = 53 + -1r + 28r Combine like terms: -1r + 28r = 27r -28 = 53 + 27r Solving -28 = 53 + 27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27r' to each side of the equation. -28 + -27r = 53 + 27r + -27r Combine like terms: 27r + -27r = 0 -28 + -27r = 53 + 0 -28 + -27r = 53 Add '28' to each side of the equation. -28 + 28 + -27r = 53 + 28 Combine like terms: -28 + 28 = 0 0 + -27r = 53 + 28 -27r = 53 + 28 Combine like terms: 53 + 28 = 81 -27r = 81 Divide each side by '-27'. r = -3 Simplifying r = -3
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