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Simplifying 5 + 3(2r + -5) + -3(4r + 6) + -8 = 0 Reorder the terms: 5 + 3(-5 + 2r) + -3(4r + 6) + -8 = 0 5 + (-5 * 3 + 2r * 3) + -3(4r + 6) + -8 = 0 5 + (-15 + 6r) + -3(4r + 6) + -8 = 0 Reorder the terms: 5 + -15 + 6r + -3(6 + 4r) + -8 = 0 5 + -15 + 6r + (6 * -3 + 4r * -3) + -8 = 0 5 + -15 + 6r + (-18 + -12r) + -8 = 0 Reorder the terms: 5 + -15 + -18 + -8 + 6r + -12r = 0 Combine like terms: 5 + -15 = -10 -10 + -18 + -8 + 6r + -12r = 0 Combine like terms: -10 + -18 = -28 -28 + -8 + 6r + -12r = 0 Combine like terms: -28 + -8 = -36 -36 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -36 + -6r = 0 Solving -36 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -6r = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -6r = 0 + 36 -6r = 0 + 36 Combine like terms: 0 + 36 = 36 -6r = 36 Divide each side by '-6'. r = -6 Simplifying r = -6
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