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Simplifying -1(r + -7) = -3(8x + 8) + -8r Reorder the terms: -1(-7 + r) = -3(8x + 8) + -8r (-7 * -1 + r * -1) = -3(8x + 8) + -8r (7 + -1r) = -3(8x + 8) + -8r Reorder the terms: 7 + -1r = -3(8 + 8x) + -8r 7 + -1r = (8 * -3 + 8x * -3) + -8r 7 + -1r = (-24 + -24x) + -8r Reorder the terms: 7 + -1r = -24 + -8r + -24x Solving 7 + -1r = -24 + -8r + -24x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 7 + -1r + 8r = -24 + -8r + 8r + -24x Combine like terms: -1r + 8r = 7r 7 + 7r = -24 + -8r + 8r + -24x Combine like terms: -8r + 8r = 0 7 + 7r = -24 + 0 + -24x 7 + 7r = -24 + -24x Add '-7' to each side of the equation. 7 + -7 + 7r = -24 + -7 + -24x Combine like terms: 7 + -7 = 0 0 + 7r = -24 + -7 + -24x 7r = -24 + -7 + -24x Combine like terms: -24 + -7 = -31 7r = -31 + -24x Divide each side by '7'. r = -4.428571429 + -3.428571429x Simplifying r = -4.428571429 + -3.428571429x
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