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Simplifying -130 = 7(2r + -8) + -4 Reorder the terms: -130 = 7(-8 + 2r) + -4 -130 = (-8 * 7 + 2r * 7) + -4 -130 = (-56 + 14r) + -4 Reorder the terms: -130 = -56 + -4 + 14r Combine like terms: -56 + -4 = -60 -130 = -60 + 14r Solving -130 = -60 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -130 + -14r = -60 + 14r + -14r Combine like terms: 14r + -14r = 0 -130 + -14r = -60 + 0 -130 + -14r = -60 Add '130' to each side of the equation. -130 + 130 + -14r = -60 + 130 Combine like terms: -130 + 130 = 0 0 + -14r = -60 + 130 -14r = -60 + 130 Combine like terms: -60 + 130 = 70 -14r = 70 Divide each side by '-14'. r = -5 Simplifying r = -5
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