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Simplifying 4(2 + -1r) = -3r + 7 (2 * 4 + -1r * 4) = -3r + 7 (8 + -4r) = -3r + 7 Reorder the terms: 8 + -4r = 7 + -3r Solving 8 + -4r = 7 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 8 + -4r + 3r = 7 + -3r + 3r Combine like terms: -4r + 3r = -1r 8 + -1r = 7 + -3r + 3r Combine like terms: -3r + 3r = 0 8 + -1r = 7 + 0 8 + -1r = 7 Add '-8' to each side of the equation. 8 + -8 + -1r = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 7 + -8 -1r = 7 + -8 Combine like terms: 7 + -8 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1
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