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Simplifying (4x + -8) + -1(3r + 12) = 0 Reorder the terms: (-8 + 4x) + -1(3r + 12) = 0 Remove parenthesis around (-8 + 4x) -8 + 4x + -1(3r + 12) = 0 Reorder the terms: -8 + 4x + -1(12 + 3r) = 0 -8 + 4x + (12 * -1 + 3r * -1) = 0 -8 + 4x + (-12 + -3r) = 0 Reorder the terms: -8 + -12 + -3r + 4x = 0 Combine like terms: -8 + -12 = -20 -20 + -3r + 4x = 0 Solving -20 + -3r + 4x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -3r + 20 + 4x = 0 + 20 Reorder the terms: -20 + 20 + -3r + 4x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3r + 4x = 0 + 20 -3r + 4x = 0 + 20 Combine like terms: 0 + 20 = 20 -3r + 4x = 20 Add '-4x' to each side of the equation. -3r + 4x + -4x = 20 + -4x Combine like terms: 4x + -4x = 0 -3r + 0 = 20 + -4x -3r = 20 + -4x Divide each side by '-3'. r = -6.666666667 + 1.333333333x Simplifying r = -6.666666667 + 1.333333333x
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