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Simplifying 3(3r + -8) + -2(r + -4) = 0 Reorder the terms: 3(-8 + 3r) + -2(r + -4) = 0 (-8 * 3 + 3r * 3) + -2(r + -4) = 0 (-24 + 9r) + -2(r + -4) = 0 Reorder the terms: -24 + 9r + -2(-4 + r) = 0 -24 + 9r + (-4 * -2 + r * -2) = 0 -24 + 9r + (8 + -2r) = 0 Reorder the terms: -24 + 8 + 9r + -2r = 0 Combine like terms: -24 + 8 = -16 -16 + 9r + -2r = 0 Combine like terms: 9r + -2r = 7r -16 + 7r = 0 Solving -16 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7r = 0 + 16 7r = 0 + 16 Combine like terms: 0 + 16 = 16 7r = 16 Divide each side by '7'. r = 2.285714286 Simplifying r = 2.285714286
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