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Simplifying 4(r + 3) + -3r = 19 Reorder the terms: 4(3 + r) + -3r = 19 (3 * 4 + r * 4) + -3r = 19 (12 + 4r) + -3r = 19 Combine like terms: 4r + -3r = 1r 12 + 1r = 19 Solving 12 + 1r = 19 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1r = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 1r = 19 + -12 1r = 19 + -12 Combine like terms: 19 + -12 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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