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Simplifying 5 + 3(2r + -8) + -3(4r + 5) + -8 = 0 Reorder the terms: 5 + 3(-8 + 2r) + -3(4r + 5) + -8 = 0 5 + (-8 * 3 + 2r * 3) + -3(4r + 5) + -8 = 0 5 + (-24 + 6r) + -3(4r + 5) + -8 = 0 Reorder the terms: 5 + -24 + 6r + -3(5 + 4r) + -8 = 0 5 + -24 + 6r + (5 * -3 + 4r * -3) + -8 = 0 5 + -24 + 6r + (-15 + -12r) + -8 = 0 Reorder the terms: 5 + -24 + -15 + -8 + 6r + -12r = 0 Combine like terms: 5 + -24 = -19 -19 + -15 + -8 + 6r + -12r = 0 Combine like terms: -19 + -15 = -34 -34 + -8 + 6r + -12r = 0 Combine like terms: -34 + -8 = -42 -42 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -42 + -6r = 0 Solving -42 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -6r = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -6r = 0 + 42 -6r = 0 + 42 Combine like terms: 0 + 42 = 42 -6r = 42 Divide each side by '-6'. r = -7 Simplifying r = -7
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