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Simplifying -20 + 5r = 4(r + -6) + 3r Reorder the terms: -20 + 5r = 4(-6 + r) + 3r -20 + 5r = (-6 * 4 + r * 4) + 3r -20 + 5r = (-24 + 4r) + 3r Combine like terms: 4r + 3r = 7r -20 + 5r = -24 + 7r Solving -20 + 5r = -24 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -20 + 5r + -7r = -24 + 7r + -7r Combine like terms: 5r + -7r = -2r -20 + -2r = -24 + 7r + -7r Combine like terms: 7r + -7r = 0 -20 + -2r = -24 + 0 -20 + -2r = -24 Add '20' to each side of the equation. -20 + 20 + -2r = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -2r = -24 + 20 -2r = -24 + 20 Combine like terms: -24 + 20 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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