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Simplifying -3r + 15 = 4(r + -2) Reorder the terms: 15 + -3r = 4(r + -2) Reorder the terms: 15 + -3r = 4(-2 + r) 15 + -3r = (-2 * 4 + r * 4) 15 + -3r = (-8 + 4r) Solving 15 + -3r = -8 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 15 + -3r + -4r = -8 + 4r + -4r Combine like terms: -3r + -4r = -7r 15 + -7r = -8 + 4r + -4r Combine like terms: 4r + -4r = 0 15 + -7r = -8 + 0 15 + -7r = -8 Add '-15' to each side of the equation. 15 + -15 + -7r = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -7r = -8 + -15 -7r = -8 + -15 Combine like terms: -8 + -15 = -23 -7r = -23 Divide each side by '-7'. r = 3.285714286 Simplifying r = 3.285714286
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