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Simplifying -2r + 40 = -2r + -8(1 + 6r) Reorder the terms: 40 + -2r = -2r + -8(1 + 6r) 40 + -2r = -2r + (1 * -8 + 6r * -8) 40 + -2r = -2r + (-8 + -48r) Reorder the terms: 40 + -2r = -8 + -2r + -48r Combine like terms: -2r + -48r = -50r 40 + -2r = -8 + -50r Solving 40 + -2r = -8 + -50r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '50r' to each side of the equation. 40 + -2r + 50r = -8 + -50r + 50r Combine like terms: -2r + 50r = 48r 40 + 48r = -8 + -50r + 50r Combine like terms: -50r + 50r = 0 40 + 48r = -8 + 0 40 + 48r = -8 Add '-40' to each side of the equation. 40 + -40 + 48r = -8 + -40 Combine like terms: 40 + -40 = 0 0 + 48r = -8 + -40 48r = -8 + -40 Combine like terms: -8 + -40 = -48 48r = -48 Divide each side by '48'. r = -1 Simplifying r = -1
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