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Simplifying r + 9 + 7r = 4(3 + 4r) + -3 Reorder the terms: 9 + r + 7r = 4(3 + 4r) + -3 Combine like terms: r + 7r = 8r 9 + 8r = 4(3 + 4r) + -3 9 + 8r = (3 * 4 + 4r * 4) + -3 9 + 8r = (12 + 16r) + -3 Reorder the terms: 9 + 8r = 12 + -3 + 16r Combine like terms: 12 + -3 = 9 9 + 8r = 9 + 16r Add '-9' to each side of the equation. 9 + -9 + 8r = 9 + -9 + 16r Combine like terms: 9 + -9 = 0 0 + 8r = 9 + -9 + 16r 8r = 9 + -9 + 16r Combine like terms: 9 + -9 = 0 8r = 0 + 16r 8r = 16r Solving 8r = 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. 8r + -16r = 16r + -16r Combine like terms: 8r + -16r = -8r -8r = 16r + -16r Combine like terms: 16r + -16r = 0 -8r = 0 Divide each side by '-8'. r = 0 Simplifying r = 0
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