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Simplifying 76 = 4x(r + -3) + 8 Reorder the terms: 76 = 4x(-3 + r) + 8 76 = (-3 * 4x + r * 4x) + 8 Reorder the terms: 76 = (4rx + -12x) + 8 76 = (4rx + -12x) + 8 Reorder the terms: 76 = 8 + 4rx + -12x Solving 76 = 8 + 4rx + -12x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4rx' to each side of the equation. 76 + -4rx = 8 + 4rx + -4rx + -12x Combine like terms: 4rx + -4rx = 0 76 + -4rx = 8 + 0 + -12x 76 + -4rx = 8 + -12x Add '-76' to each side of the equation. 76 + -76 + -4rx = 8 + -76 + -12x Combine like terms: 76 + -76 = 0 0 + -4rx = 8 + -76 + -12x -4rx = 8 + -76 + -12x Combine like terms: 8 + -76 = -68 -4rx = -68 + -12x Divide each side by '-4x'. r = 17x-1 + 3 Simplifying r = 17x-1 + 3 Reorder the terms: r = 3 + 17x-1
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