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Simplifying -28 + -4r = -8 + 4(5r + 7) Reorder the terms: -28 + -4r = -8 + 4(7 + 5r) -28 + -4r = -8 + (7 * 4 + 5r * 4) -28 + -4r = -8 + (28 + 20r) Combine like terms: -8 + 28 = 20 -28 + -4r = 20 + 20r Solving -28 + -4r = 20 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. -28 + -4r + -20r = 20 + 20r + -20r Combine like terms: -4r + -20r = -24r -28 + -24r = 20 + 20r + -20r Combine like terms: 20r + -20r = 0 -28 + -24r = 20 + 0 -28 + -24r = 20 Add '28' to each side of the equation. -28 + 28 + -24r = 20 + 28 Combine like terms: -28 + 28 = 0 0 + -24r = 20 + 28 -24r = 20 + 28 Combine like terms: 20 + 28 = 48 -24r = 48 Divide each side by '-24'. r = -2 Simplifying r = -2
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