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Simplifying -6(8 + 4r) + -12r + -3 + 5r = 0 (8 * -6 + 4r * -6) + -12r + -3 + 5r = 0 (-48 + -24r) + -12r + -3 + 5r = 0 Reorder the terms: -48 + -3 + -24r + -12r + 5r = 0 Combine like terms: -48 + -3 = -51 -51 + -24r + -12r + 5r = 0 Combine like terms: -24r + -12r = -36r -51 + -36r + 5r = 0 Combine like terms: -36r + 5r = -31r -51 + -31r = 0 Solving -51 + -31r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -31r = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -31r = 0 + 51 -31r = 0 + 51 Combine like terms: 0 + 51 = 51 -31r = 51 Divide each side by '-31'. r = -1.64516129 Simplifying r = -1.64516129
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