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Simplifying 4(r + 3) = 7 + -4(2r + 5) Reorder the terms: 4(3 + r) = 7 + -4(2r + 5) (3 * 4 + r * 4) = 7 + -4(2r + 5) (12 + 4r) = 7 + -4(2r + 5) Reorder the terms: 12 + 4r = 7 + -4(5 + 2r) 12 + 4r = 7 + (5 * -4 + 2r * -4) 12 + 4r = 7 + (-20 + -8r) Combine like terms: 7 + -20 = -13 12 + 4r = -13 + -8r Solving 12 + 4r = -13 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 12 + 4r + 8r = -13 + -8r + 8r Combine like terms: 4r + 8r = 12r 12 + 12r = -13 + -8r + 8r Combine like terms: -8r + 8r = 0 12 + 12r = -13 + 0 12 + 12r = -13 Add '-12' to each side of the equation. 12 + -12 + 12r = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 12r = -13 + -12 12r = -13 + -12 Combine like terms: -13 + -12 = -25 12r = -25 Divide each side by '12'. r = -2.083333333 Simplifying r = -2.083333333
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