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Simplifying -9 = -4 + 5(4r + -5) Reorder the terms: -9 = -4 + 5(-5 + 4r) -9 = -4 + (-5 * 5 + 4r * 5) -9 = -4 + (-25 + 20r) Combine like terms: -4 + -25 = -29 -9 = -29 + 20r Solving -9 = -29 + 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. -9 + -20r = -29 + 20r + -20r Combine like terms: 20r + -20r = 0 -9 + -20r = -29 + 0 -9 + -20r = -29 Add '9' to each side of the equation. -9 + 9 + -20r = -29 + 9 Combine like terms: -9 + 9 = 0 0 + -20r = -29 + 9 -20r = -29 + 9 Combine like terms: -29 + 9 = -20 -20r = -20 Divide each side by '-20'. r = 1 Simplifying r = 1
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