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Simplifying -130 = -7(6 + -3r) + r -130 = (6 * -7 + -3r * -7) + r -130 = (-42 + 21r) + r Combine like terms: 21r + r = 22r -130 = -42 + 22r Solving -130 = -42 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. -130 + -22r = -42 + 22r + -22r Combine like terms: 22r + -22r = 0 -130 + -22r = -42 + 0 -130 + -22r = -42 Add '130' to each side of the equation. -130 + 130 + -22r = -42 + 130 Combine like terms: -130 + 130 = 0 0 + -22r = -42 + 130 -22r = -42 + 130 Combine like terms: -42 + 130 = 88 -22r = 88 Divide each side by '-22'. r = -4 Simplifying r = -4
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