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Simplifying 5(-2r + 5) = 1 + -6(r + -8) Reorder the terms: 5(5 + -2r) = 1 + -6(r + -8) (5 * 5 + -2r * 5) = 1 + -6(r + -8) (25 + -10r) = 1 + -6(r + -8) Reorder the terms: 25 + -10r = 1 + -6(-8 + r) 25 + -10r = 1 + (-8 * -6 + r * -6) 25 + -10r = 1 + (48 + -6r) Combine like terms: 1 + 48 = 49 25 + -10r = 49 + -6r Solving 25 + -10r = 49 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 25 + -10r + 6r = 49 + -6r + 6r Combine like terms: -10r + 6r = -4r 25 + -4r = 49 + -6r + 6r Combine like terms: -6r + 6r = 0 25 + -4r = 49 + 0 25 + -4r = 49 Add '-25' to each side of the equation. 25 + -25 + -4r = 49 + -25 Combine like terms: 25 + -25 = 0 0 + -4r = 49 + -25 -4r = 49 + -25 Combine like terms: 49 + -25 = 24 -4r = 24 Divide each side by '-4'. r = -6 Simplifying r = -6
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