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Simplifying -3(4r + 1) + -5 = -8 + 2r Reorder the terms: -3(1 + 4r) + -5 = -8 + 2r (1 * -3 + 4r * -3) + -5 = -8 + 2r (-3 + -12r) + -5 = -8 + 2r Reorder the terms: -3 + -5 + -12r = -8 + 2r Combine like terms: -3 + -5 = -8 -8 + -12r = -8 + 2r Add '8' to each side of the equation. -8 + 8 + -12r = -8 + 8 + 2r Combine like terms: -8 + 8 = 0 0 + -12r = -8 + 8 + 2r -12r = -8 + 8 + 2r Combine like terms: -8 + 8 = 0 -12r = 0 + 2r -12r = 2r Solving -12r = 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -12r + -2r = 2r + -2r Combine like terms: -12r + -2r = -14r -14r = 2r + -2r Combine like terms: 2r + -2r = 0 -14r = 0 Divide each side by '-14'. r = 0 Simplifying r = 0
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