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Simplifying 5r + -12 = 4(r + -5) Reorder the terms: -12 + 5r = 4(r + -5) Reorder the terms: -12 + 5r = 4(-5 + r) -12 + 5r = (-5 * 4 + r * 4) -12 + 5r = (-20 + 4r) Solving -12 + 5r = -20 + 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. -12 + 5r + -4r = -20 + 4r + -4r Combine like terms: 5r + -4r = 1r -12 + 1r = -20 + 4r + -4r Combine like terms: 4r + -4r = 0 -12 + 1r = -20 + 0 -12 + 1r = -20 Add '12' to each side of the equation. -12 + 12 + 1r = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 1r = -20 + 12 1r = -20 + 12 Combine like terms: -20 + 12 = -8 1r = -8 Divide each side by '1'. r = -8 Simplifying r = -8
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