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Simplifying -32 + -2r = 8(r + 6) Reorder the terms: -32 + -2r = 8(6 + r) -32 + -2r = (6 * 8 + r * 8) -32 + -2r = (48 + 8r) Solving -32 + -2r = 48 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -32 + -2r + -8r = 48 + 8r + -8r Combine like terms: -2r + -8r = -10r -32 + -10r = 48 + 8r + -8r Combine like terms: 8r + -8r = 0 -32 + -10r = 48 + 0 -32 + -10r = 48 Add '32' to each side of the equation. -32 + 32 + -10r = 48 + 32 Combine like terms: -32 + 32 = 0 0 + -10r = 48 + 32 -10r = 48 + 32 Combine like terms: 48 + 32 = 80 -10r = 80 Divide each side by '-10'. r = -8 Simplifying r = -8
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