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Simplifying (-3r + 4 + 11 + 4r) + -1(5r + 3) = 0 Reorder the terms: (4 + 11 + -3r + 4r) + -1(5r + 3) = 0 Combine like terms: 4 + 11 = 15 (15 + -3r + 4r) + -1(5r + 3) = 0 Combine like terms: -3r + 4r = 1r (15 + 1r) + -1(5r + 3) = 0 Remove parenthesis around (15 + 1r) 15 + 1r + -1(5r + 3) = 0 Reorder the terms: 15 + 1r + -1(3 + 5r) = 0 15 + 1r + (3 * -1 + 5r * -1) = 0 15 + 1r + (-3 + -5r) = 0 Reorder the terms: 15 + -3 + 1r + -5r = 0 Combine like terms: 15 + -3 = 12 12 + 1r + -5r = 0 Combine like terms: 1r + -5r = -4r 12 + -4r = 0 Solving 12 + -4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = 0 + -12 -4r = 0 + -12 Combine like terms: 0 + -12 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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