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Simplifying 6(r + 3) + -2(r + 5) + 10 = 0 Reorder the terms: 6(3 + r) + -2(r + 5) + 10 = 0 (3 * 6 + r * 6) + -2(r + 5) + 10 = 0 (18 + 6r) + -2(r + 5) + 10 = 0 Reorder the terms: 18 + 6r + -2(5 + r) + 10 = 0 18 + 6r + (5 * -2 + r * -2) + 10 = 0 18 + 6r + (-10 + -2r) + 10 = 0 Reorder the terms: 18 + -10 + 10 + 6r + -2r = 0 Combine like terms: 18 + -10 = 8 8 + 10 + 6r + -2r = 0 Combine like terms: 8 + 10 = 18 18 + 6r + -2r = 0 Combine like terms: 6r + -2r = 4r 18 + 4r = 0 Solving 18 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4r = 0 + -18 4r = 0 + -18 Combine like terms: 0 + -18 = -18 4r = -18 Divide each side by '4'. r = -4.5 Simplifying r = -4.5
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