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Simplifying -8(r + 6) + -1r + 1 = 0 Reorder the terms: -8(6 + r) + -1r + 1 = 0 (6 * -8 + r * -8) + -1r + 1 = 0 (-48 + -8r) + -1r + 1 = 0 Reorder the terms: -48 + 1 + -8r + -1r = 0 Combine like terms: -48 + 1 = -47 -47 + -8r + -1r = 0 Combine like terms: -8r + -1r = -9r -47 + -9r = 0 Solving -47 + -9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -9r = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -9r = 0 + 47 -9r = 0 + 47 Combine like terms: 0 + 47 = 47 -9r = 47 Divide each side by '-9'. r = -5.222222222 Simplifying r = -5.222222222
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