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Simplifying -3(1 + -8r) + -7 = -30 + 4r (1 * -3 + -8r * -3) + -7 = -30 + 4r (-3 + 24r) + -7 = -30 + 4r Reorder the terms: -3 + -7 + 24r = -30 + 4r Combine like terms: -3 + -7 = -10 -10 + 24r = -30 + 4r Solving -10 + 24r = -30 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -10 + 24r + -4r = -30 + 4r + -4r Combine like terms: 24r + -4r = 20r -10 + 20r = -30 + 4r + -4r Combine like terms: 4r + -4r = 0 -10 + 20r = -30 + 0 -10 + 20r = -30 Add '10' to each side of the equation. -10 + 10 + 20r = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 20r = -30 + 10 20r = -30 + 10 Combine like terms: -30 + 10 = -20 20r = -20 Divide each side by '20'. r = -1 Simplifying r = -1
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