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Simplifying 2(1 + -2r) + -10 = 10r + 8(-2r + -2) (1 * 2 + -2r * 2) + -10 = 10r + 8(-2r + -2) (2 + -4r) + -10 = 10r + 8(-2r + -2) Reorder the terms: 2 + -10 + -4r = 10r + 8(-2r + -2) Combine like terms: 2 + -10 = -8 -8 + -4r = 10r + 8(-2r + -2) Reorder the terms: -8 + -4r = 10r + 8(-2 + -2r) -8 + -4r = 10r + (-2 * 8 + -2r * 8) -8 + -4r = 10r + (-16 + -16r) Reorder the terms: -8 + -4r = -16 + 10r + -16r Combine like terms: 10r + -16r = -6r -8 + -4r = -16 + -6r Solving -8 + -4r = -16 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -8 + -4r + 6r = -16 + -6r + 6r Combine like terms: -4r + 6r = 2r -8 + 2r = -16 + -6r + 6r Combine like terms: -6r + 6r = 0 -8 + 2r = -16 + 0 -8 + 2r = -16 Add '8' to each side of the equation. -8 + 8 + 2r = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 2r = -16 + 8 2r = -16 + 8 Combine like terms: -16 + 8 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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