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Simplifying 7(2r + 12) = 8(2r + -1) Reorder the terms: 7(12 + 2r) = 8(2r + -1) (12 * 7 + 2r * 7) = 8(2r + -1) (84 + 14r) = 8(2r + -1) Reorder the terms: 84 + 14r = 8(-1 + 2r) 84 + 14r = (-1 * 8 + 2r * 8) 84 + 14r = (-8 + 16r) Solving 84 + 14r = -8 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. 84 + 14r + -16r = -8 + 16r + -16r Combine like terms: 14r + -16r = -2r 84 + -2r = -8 + 16r + -16r Combine like terms: 16r + -16r = 0 84 + -2r = -8 + 0 84 + -2r = -8 Add '-84' to each side of the equation. 84 + -84 + -2r = -8 + -84 Combine like terms: 84 + -84 = 0 0 + -2r = -8 + -84 -2r = -8 + -84 Combine like terms: -8 + -84 = -92 -2r = -92 Divide each side by '-2'. r = 46 Simplifying r = 46
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