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Simplifying 2r + 7 = 3(r + 4) Reorder the terms: 7 + 2r = 3(r + 4) Reorder the terms: 7 + 2r = 3(4 + r) 7 + 2r = (4 * 3 + r * 3) 7 + 2r = (12 + 3r) Solving 7 + 2r = 12 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 7 + 2r + -3r = 12 + 3r + -3r Combine like terms: 2r + -3r = -1r 7 + -1r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + -1r = 12 + 0 7 + -1r = 12 Add '-7' to each side of the equation. 7 + -7 + -1r = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 12 + -7 -1r = 12 + -7 Combine like terms: 12 + -7 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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