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Simplifying 7 = (4r + 3) + -1(8 + -2r) Reorder the terms: 7 = (3 + 4r) + -1(8 + -2r) Remove parenthesis around (3 + 4r) 7 = 3 + 4r + -1(8 + -2r) 7 = 3 + 4r + (8 * -1 + -2r * -1) 7 = 3 + 4r + (-8 + 2r) Reorder the terms: 7 = 3 + -8 + 4r + 2r Combine like terms: 3 + -8 = -5 7 = -5 + 4r + 2r Combine like terms: 4r + 2r = 6r 7 = -5 + 6r Solving 7 = -5 + 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. 7 + -6r = -5 + 6r + -6r Combine like terms: 6r + -6r = 0 7 + -6r = -5 + 0 7 + -6r = -5 Add '-7' to each side of the equation. 7 + -7 + -6r = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = -5 + -7 -6r = -5 + -7 Combine like terms: -5 + -7 = -12 -6r = -12 Divide each side by '-6'. r = 2 Simplifying r = 2
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