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Simplifying -3(r + -4) + 3 = -2r + 18 Reorder the terms: -3(-4 + r) + 3 = -2r + 18 (-4 * -3 + r * -3) + 3 = -2r + 18 (12 + -3r) + 3 = -2r + 18 Reorder the terms: 12 + 3 + -3r = -2r + 18 Combine like terms: 12 + 3 = 15 15 + -3r = -2r + 18 Reorder the terms: 15 + -3r = 18 + -2r Solving 15 + -3r = 18 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 15 + -3r + 2r = 18 + -2r + 2r Combine like terms: -3r + 2r = -1r 15 + -1r = 18 + -2r + 2r Combine like terms: -2r + 2r = 0 15 + -1r = 18 + 0 15 + -1r = 18 Add '-15' to each side of the equation. 15 + -15 + -1r = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -1r = 18 + -15 -1r = 18 + -15 Combine like terms: 18 + -15 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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