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Simplifying 3 + 3(2r + -8) + -3(4r + 5) + -8 = 0 Reorder the terms: 3 + 3(-8 + 2r) + -3(4r + 5) + -8 = 0 3 + (-8 * 3 + 2r * 3) + -3(4r + 5) + -8 = 0 3 + (-24 + 6r) + -3(4r + 5) + -8 = 0 Reorder the terms: 3 + -24 + 6r + -3(5 + 4r) + -8 = 0 3 + -24 + 6r + (5 * -3 + 4r * -3) + -8 = 0 3 + -24 + 6r + (-15 + -12r) + -8 = 0 Reorder the terms: 3 + -24 + -15 + -8 + 6r + -12r = 0 Combine like terms: 3 + -24 = -21 -21 + -15 + -8 + 6r + -12r = 0 Combine like terms: -21 + -15 = -36 -36 + -8 + 6r + -12r = 0 Combine like terms: -36 + -8 = -44 -44 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -44 + -6r = 0 Solving -44 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -6r = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -6r = 0 + 44 -6r = 0 + 44 Combine like terms: 0 + 44 = 44 -6r = 44 Divide each side by '-6'. r = -7.333333333 Simplifying r = -7.333333333
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