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Simplifying 5r + 2(r + -8) + -3(4r) + 8 = 0 Reorder the terms: 5r + 2(-8 + r) + -3(4r) + 8 = 0 5r + (-8 * 2 + r * 2) + -3(4r) + 8 = 0 5r + (-16 + 2r) + -3(4r) + 8 = 0 Remove parenthesis around (4r) 5r + -16 + 2r + -3 * 4r + 8 = 0 Multiply -3 * 4 5r + -16 + 2r + -12r + 8 = 0 Reorder the terms: -16 + 8 + 5r + 2r + -12r = 0 Combine like terms: -16 + 8 = -8 -8 + 5r + 2r + -12r = 0 Combine like terms: 5r + 2r = 7r -8 + 7r + -12r = 0 Combine like terms: 7r + -12r = -5r -8 + -5r = 0 Solving -8 + -5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 0 + 8 -5r = 0 + 8 Combine like terms: 0 + 8 = 8 -5r = 8 Divide each side by '-5'. r = -1.6 Simplifying r = -1.6
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