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Simplifying (-56) = (-4)(1 + 8r) + 4((-1) + 2r) -56 = (-4)(1 + 8r) + 4((-1) + 2r) -56 = (1 * -4 + 8r * -4) + 4((-1) + 2r) -56 = (-4 + -32r) + 4((-1) + 2r) -56 = -4 + -32r + 4(-1 + 2r) -56 = -4 + -32r + (-1 * 4 + 2r * 4) -56 = -4 + -32r + (-4 + 8r) Reorder the terms: -56 = -4 + -4 + -32r + 8r Combine like terms: -4 + -4 = -8 -56 = -8 + -32r + 8r Combine like terms: -32r + 8r = -24r -56 = -8 + -24r Solving -56 = -8 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -56 + 24r = -8 + -24r + 24r Combine like terms: -24r + 24r = 0 -56 + 24r = -8 + 0 -56 + 24r = -8 Add '56' to each side of the equation. -56 + 56 + 24r = -8 + 56 Combine like terms: -56 + 56 = 0 0 + 24r = -8 + 56 24r = -8 + 56 Combine like terms: -8 + 56 = 48 24r = 48 Divide each side by '24'. r = 2 Simplifying r = 2
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