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Simplifying 10(8r + 9) = 4 + -6r Reorder the terms: 10(9 + 8r) = 4 + -6r (9 * 10 + 8r * 10) = 4 + -6r (90 + 80r) = 4 + -6r Solving 90 + 80r = 4 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 90 + 80r + 6r = 4 + -6r + 6r Combine like terms: 80r + 6r = 86r 90 + 86r = 4 + -6r + 6r Combine like terms: -6r + 6r = 0 90 + 86r = 4 + 0 90 + 86r = 4 Add '-90' to each side of the equation. 90 + -90 + 86r = 4 + -90 Combine like terms: 90 + -90 = 0 0 + 86r = 4 + -90 86r = 4 + -90 Combine like terms: 4 + -90 = -86 86r = -86 Divide each side by '86'. r = -1 Simplifying r = -1
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