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Simplifying 4(r + -8) = -4 + 7(r + 2) Reorder the terms: 4(-8 + r) = -4 + 7(r + 2) (-8 * 4 + r * 4) = -4 + 7(r + 2) (-32 + 4r) = -4 + 7(r + 2) Reorder the terms: -32 + 4r = -4 + 7(2 + r) -32 + 4r = -4 + (2 * 7 + r * 7) -32 + 4r = -4 + (14 + 7r) Combine like terms: -4 + 14 = 10 -32 + 4r = 10 + 7r Solving -32 + 4r = 10 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -32 + 4r + -7r = 10 + 7r + -7r Combine like terms: 4r + -7r = -3r -32 + -3r = 10 + 7r + -7r Combine like terms: 7r + -7r = 0 -32 + -3r = 10 + 0 -32 + -3r = 10 Add '32' to each side of the equation. -32 + 32 + -3r = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -3r = 10 + 32 -3r = 10 + 32 Combine like terms: 10 + 32 = 42 -3r = 42 Divide each side by '-3'. r = -14 Simplifying r = -14
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