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Simplifying 4r + -4 = 5(r + 6) Reorder the terms: -4 + 4r = 5(r + 6) Reorder the terms: -4 + 4r = 5(6 + r) -4 + 4r = (6 * 5 + r * 5) -4 + 4r = (30 + 5r) Solving -4 + 4r = 30 + 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 + 4r + -5r = 30 + 5r + -5r Combine like terms: 4r + -5r = -1r -4 + -1r = 30 + 5r + -5r Combine like terms: 5r + -5r = 0 -4 + -1r = 30 + 0 -4 + -1r = 30 Add '4' to each side of the equation. -4 + 4 + -1r = 30 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 30 + 4 -1r = 30 + 4 Combine like terms: 30 + 4 = 34 -1r = 34 Divide each side by '-1'. r = -34 Simplifying r = -34
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