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Simplifying 4 + -2(3r + -4) = 1 + -1(5r + 4) Reorder the terms: 4 + -2(-4 + 3r) = 1 + -1(5r + 4) 4 + (-4 * -2 + 3r * -2) = 1 + -1(5r + 4) 4 + (8 + -6r) = 1 + -1(5r + 4) Combine like terms: 4 + 8 = 12 12 + -6r = 1 + -1(5r + 4) Reorder the terms: 12 + -6r = 1 + -1(4 + 5r) 12 + -6r = 1 + (4 * -1 + 5r * -1) 12 + -6r = 1 + (-4 + -5r) Combine like terms: 1 + -4 = -3 12 + -6r = -3 + -5r Solving 12 + -6r = -3 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 12 + -6r + 5r = -3 + -5r + 5r Combine like terms: -6r + 5r = -1r 12 + -1r = -3 + -5r + 5r Combine like terms: -5r + 5r = 0 12 + -1r = -3 + 0 12 + -1r = -3 Add '-12' to each side of the equation. 12 + -12 + -1r = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = -3 + -12 -1r = -3 + -12 Combine like terms: -3 + -12 = -15 -1r = -15 Divide each side by '-1'. r = 15 Simplifying r = 15
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