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Simplifying 19 = 7r + -2(3 + 4r) 19 = 7r + (3 * -2 + 4r * -2) 19 = 7r + (-6 + -8r) Reorder the terms: 19 = -6 + 7r + -8r Combine like terms: 7r + -8r = -1r 19 = -6 + -1r Solving 19 = -6 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 19 + r = -6 + -1r + r Combine like terms: -1r + r = 0 19 + r = -6 + 0 19 + r = -6 Add '-19' to each side of the equation. 19 + -19 + r = -6 + -19 Combine like terms: 19 + -19 = 0 0 + r = -6 + -19 r = -6 + -19 Combine like terms: -6 + -19 = -25 r = -25 Simplifying r = -25
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