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Simplifying 3r + -4 = 5(r + -4) Reorder the terms: -4 + 3r = 5(r + -4) Reorder the terms: -4 + 3r = 5(-4 + r) -4 + 3r = (-4 * 5 + r * 5) -4 + 3r = (-20 + 5r) Solving -4 + 3r = -20 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -4 + 3r + -5r = -20 + 5r + -5r Combine like terms: 3r + -5r = -2r -4 + -2r = -20 + 5r + -5r Combine like terms: 5r + -5r = 0 -4 + -2r = -20 + 0 -4 + -2r = -20 Add '4' to each side of the equation. -4 + 4 + -2r = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -2r = -20 + 4 -2r = -20 + 4 Combine like terms: -20 + 4 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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