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Simplifying -4(1 + 4) = -8 + -4(6r + 7) Combine like terms: 1 + 4 = 5 -4(5) = -8 + -4(6r + 7) Multiply -4 * 5 -20 = -8 + -4(6r + 7) Reorder the terms: -20 = -8 + -4(7 + 6r) -20 = -8 + (7 * -4 + 6r * -4) -20 = -8 + (-28 + -24r) Combine like terms: -8 + -28 = -36 -20 = -36 + -24r Solving -20 = -36 + -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. -20 + 24r = -36 + -24r + 24r Combine like terms: -24r + 24r = 0 -20 + 24r = -36 + 0 -20 + 24r = -36 Add '20' to each side of the equation. -20 + 20 + 24r = -36 + 20 Combine like terms: -20 + 20 = 0 0 + 24r = -36 + 20 24r = -36 + 20 Combine like terms: -36 + 20 = -16 24r = -16 Divide each side by '24'. r = -0.6666666667 Simplifying r = -0.6666666667
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