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Simplifying -7(4r + -4) + 4 = 8(3r + 4) Reorder the terms: -7(-4 + 4r) + 4 = 8(3r + 4) (-4 * -7 + 4r * -7) + 4 = 8(3r + 4) (28 + -28r) + 4 = 8(3r + 4) Reorder the terms: 28 + 4 + -28r = 8(3r + 4) Combine like terms: 28 + 4 = 32 32 + -28r = 8(3r + 4) Reorder the terms: 32 + -28r = 8(4 + 3r) 32 + -28r = (4 * 8 + 3r * 8) 32 + -28r = (32 + 24r) Add '-32' to each side of the equation. 32 + -32 + -28r = 32 + -32 + 24r Combine like terms: 32 + -32 = 0 0 + -28r = 32 + -32 + 24r -28r = 32 + -32 + 24r Combine like terms: 32 + -32 = 0 -28r = 0 + 24r -28r = 24r Solving -28r = 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. -28r + -24r = 24r + -24r Combine like terms: -28r + -24r = -52r -52r = 24r + -24r Combine like terms: 24r + -24r = 0 -52r = 0 Divide each side by '-52'. r = 0 Simplifying r = 0
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