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Simplifying -83 = 4(1 + 3r) + -3 -83 = (1 * 4 + 3r * 4) + -3 -83 = (4 + 12r) + -3 Reorder the terms: -83 = 4 + -3 + 12r Combine like terms: 4 + -3 = 1 -83 = 1 + 12r Solving -83 = 1 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -83 + -12r = 1 + 12r + -12r Combine like terms: 12r + -12r = 0 -83 + -12r = 1 + 0 -83 + -12r = 1 Add '83' to each side of the equation. -83 + 83 + -12r = 1 + 83 Combine like terms: -83 + 83 = 0 0 + -12r = 1 + 83 -12r = 1 + 83 Combine like terms: 1 + 83 = 84 -12r = 84 Divide each side by '-12'. r = -7 Simplifying r = -7
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