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Simplifying 2 + -8(r + 1) = 24 + 2r Reorder the terms: 2 + -8(1 + r) = 24 + 2r 2 + (1 * -8 + r * -8) = 24 + 2r 2 + (-8 + -8r) = 24 + 2r Combine like terms: 2 + -8 = -6 -6 + -8r = 24 + 2r Solving -6 + -8r = 24 + 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. -6 + -8r + -2r = 24 + 2r + -2r Combine like terms: -8r + -2r = -10r -6 + -10r = 24 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + -10r = 24 + 0 -6 + -10r = 24 Add '6' to each side of the equation. -6 + 6 + -10r = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -10r = 24 + 6 -10r = 24 + 6 Combine like terms: 24 + 6 = 30 -10r = 30 Divide each side by '-10'. r = -3 Simplifying r = -3
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