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Simplifying -10r + -6(-8r + 8) = -8(1 + -6r) Reorder the terms: -10r + -6(8 + -8r) = -8(1 + -6r) -10r + (8 * -6 + -8r * -6) = -8(1 + -6r) -10r + (-48 + 48r) = -8(1 + -6r) Reorder the terms: -48 + -10r + 48r = -8(1 + -6r) Combine like terms: -10r + 48r = 38r -48 + 38r = -8(1 + -6r) -48 + 38r = (1 * -8 + -6r * -8) -48 + 38r = (-8 + 48r) Solving -48 + 38r = -8 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. -48 + 38r + -48r = -8 + 48r + -48r Combine like terms: 38r + -48r = -10r -48 + -10r = -8 + 48r + -48r Combine like terms: 48r + -48r = 0 -48 + -10r = -8 + 0 -48 + -10r = -8 Add '48' to each side of the equation. -48 + 48 + -10r = -8 + 48 Combine like terms: -48 + 48 = 0 0 + -10r = -8 + 48 -10r = -8 + 48 Combine like terms: -8 + 48 = 40 -10r = 40 Divide each side by '-10'. r = -4 Simplifying r = -4
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