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Simplifying -62 = 4(1 + 3r) + 6 -62 = (1 * 4 + 3r * 4) + 6 -62 = (4 + 12r) + 6 Reorder the terms: -62 = 4 + 6 + 12r Combine like terms: 4 + 6 = 10 -62 = 10 + 12r Solving -62 = 10 + 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. -62 + -12r = 10 + 12r + -12r Combine like terms: 12r + -12r = 0 -62 + -12r = 10 + 0 -62 + -12r = 10 Add '62' to each side of the equation. -62 + 62 + -12r = 10 + 62 Combine like terms: -62 + 62 = 0 0 + -12r = 10 + 62 -12r = 10 + 62 Combine like terms: 10 + 62 = 72 -12r = 72 Divide each side by '-12'. r = -6 Simplifying r = -6
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