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Simplifying -1(r + 7) + 1 = -3(-8r + 2) Reorder the terms: -1(7 + r) + 1 = -3(-8r + 2) (7 * -1 + r * -1) + 1 = -3(-8r + 2) (-7 + -1r) + 1 = -3(-8r + 2) Reorder the terms: -7 + 1 + -1r = -3(-8r + 2) Combine like terms: -7 + 1 = -6 -6 + -1r = -3(-8r + 2) Reorder the terms: -6 + -1r = -3(2 + -8r) -6 + -1r = (2 * -3 + -8r * -3) -6 + -1r = (-6 + 24r) Add '6' to each side of the equation. -6 + 6 + -1r = -6 + 6 + 24r Combine like terms: -6 + 6 = 0 0 + -1r = -6 + 6 + 24r -1r = -6 + 6 + 24r Combine like terms: -6 + 6 = 0 -1r = 0 + 24r -1r = 24r Solving -1r = 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -1r + -24r = 24r + -24r Combine like terms: -1r + -24r = -25r -25r = 24r + -24r Combine like terms: 24r + -24r = 0 -25r = 0 Divide each side by '-25'. r = 0 Simplifying r = 0
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