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Simplifying -8(r + 2) + -1r = -1(1 + -6r) Reorder the terms: -8(2 + r) + -1r = -1(1 + -6r) (2 * -8 + r * -8) + -1r = -1(1 + -6r) (-16 + -8r) + -1r = -1(1 + -6r) Combine like terms: -8r + -1r = -9r -16 + -9r = -1(1 + -6r) -16 + -9r = (1 * -1 + -6r * -1) -16 + -9r = (-1 + 6r) Solving -16 + -9r = -1 + 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. -16 + -9r + -6r = -1 + 6r + -6r Combine like terms: -9r + -6r = -15r -16 + -15r = -1 + 6r + -6r Combine like terms: 6r + -6r = 0 -16 + -15r = -1 + 0 -16 + -15r = -1 Add '16' to each side of the equation. -16 + 16 + -15r = -1 + 16 Combine like terms: -16 + 16 = 0 0 + -15r = -1 + 16 -15r = -1 + 16 Combine like terms: -1 + 16 = 15 -15r = 15 Divide each side by '-15'. r = -1 Simplifying r = -1
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