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Simplifying 5(-3r + 7) + -1(8 + 2r) = 0 Reorder the terms: 5(7 + -3r) + -1(8 + 2r) = 0 (7 * 5 + -3r * 5) + -1(8 + 2r) = 0 (35 + -15r) + -1(8 + 2r) = 0 35 + -15r + (8 * -1 + 2r * -1) = 0 35 + -15r + (-8 + -2r) = 0 Reorder the terms: 35 + -8 + -15r + -2r = 0 Combine like terms: 35 + -8 = 27 27 + -15r + -2r = 0 Combine like terms: -15r + -2r = -17r 27 + -17r = 0 Solving 27 + -17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -17r = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -17r = 0 + -27 -17r = 0 + -27 Combine like terms: 0 + -27 = -27 -17r = -27 Divide each side by '-17'. r = 1.588235294 Simplifying r = 1.588235294
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