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Simplifying 30 + -7r = 4(1 + -8r) + -1r 30 + -7r = (1 * 4 + -8r * 4) + -1r 30 + -7r = (4 + -32r) + -1r Combine like terms: -32r + -1r = -33r 30 + -7r = 4 + -33r Solving 30 + -7r = 4 + -33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '33r' to each side of the equation. 30 + -7r + 33r = 4 + -33r + 33r Combine like terms: -7r + 33r = 26r 30 + 26r = 4 + -33r + 33r Combine like terms: -33r + 33r = 0 30 + 26r = 4 + 0 30 + 26r = 4 Add '-30' to each side of the equation. 30 + -30 + 26r = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 26r = 4 + -30 26r = 4 + -30 Combine like terms: 4 + -30 = -26 26r = -26 Divide each side by '26'. r = -1 Simplifying r = -1
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