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Simplifying -8(r + -1) + -4r = 8(1 + 2r) + 4r Reorder the terms: -8(-1 + r) + -4r = 8(1 + 2r) + 4r (-1 * -8 + r * -8) + -4r = 8(1 + 2r) + 4r (8 + -8r) + -4r = 8(1 + 2r) + 4r Combine like terms: -8r + -4r = -12r 8 + -12r = 8(1 + 2r) + 4r 8 + -12r = (1 * 8 + 2r * 8) + 4r 8 + -12r = (8 + 16r) + 4r Combine like terms: 16r + 4r = 20r 8 + -12r = 8 + 20r Add '-8' to each side of the equation. 8 + -8 + -12r = 8 + -8 + 20r Combine like terms: 8 + -8 = 0 0 + -12r = 8 + -8 + 20r -12r = 8 + -8 + 20r Combine like terms: 8 + -8 = 0 -12r = 0 + 20r -12r = 20r Solving -12r = 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. -12r + -20r = 20r + -20r Combine like terms: -12r + -20r = -32r -32r = 20r + -20r Combine like terms: 20r + -20r = 0 -32r = 0 Divide each side by '-32'. r = 0 Simplifying r = 0
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