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Simplifying 1 + 3(r + -8) + -4(r + 4) = 0 Reorder the terms: 1 + 3(-8 + r) + -4(r + 4) = 0 1 + (-8 * 3 + r * 3) + -4(r + 4) = 0 1 + (-24 + 3r) + -4(r + 4) = 0 Reorder the terms: 1 + -24 + 3r + -4(4 + r) = 0 1 + -24 + 3r + (4 * -4 + r * -4) = 0 1 + -24 + 3r + (-16 + -4r) = 0 Reorder the terms: 1 + -24 + -16 + 3r + -4r = 0 Combine like terms: 1 + -24 = -23 -23 + -16 + 3r + -4r = 0 Combine like terms: -23 + -16 = -39 -39 + 3r + -4r = 0 Combine like terms: 3r + -4r = -1r -39 + -1r = 0 Solving -39 + -1r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -1r = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -1r = 0 + 39 -1r = 0 + 39 Combine like terms: 0 + 39 = 39 -1r = 39 Divide each side by '-1'. r = -39 Simplifying r = -39
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