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Simplifying -7(-3r + 2) + 2 = -1r + 32 Reorder the terms: -7(2 + -3r) + 2 = -1r + 32 (2 * -7 + -3r * -7) + 2 = -1r + 32 (-14 + 21r) + 2 = -1r + 32 Reorder the terms: -14 + 2 + 21r = -1r + 32 Combine like terms: -14 + 2 = -12 -12 + 21r = -1r + 32 Reorder the terms: -12 + 21r = 32 + -1r Solving -12 + 21r = 32 + -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. -12 + 21r + r = 32 + -1r + r Combine like terms: 21r + r = 22r -12 + 22r = 32 + -1r + r Combine like terms: -1r + r = 0 -12 + 22r = 32 + 0 -12 + 22r = 32 Add '12' to each side of the equation. -12 + 12 + 22r = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 22r = 32 + 12 22r = 32 + 12 Combine like terms: 32 + 12 = 44 22r = 44 Divide each side by '22'. r = 2 Simplifying r = 2
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