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Simplifying 1 + -8(6r + 1) = -7 + -1r Reorder the terms: 1 + -8(1 + 6r) = -7 + -1r 1 + (1 * -8 + 6r * -8) = -7 + -1r 1 + (-8 + -48r) = -7 + -1r Combine like terms: 1 + -8 = -7 -7 + -48r = -7 + -1r Add '7' to each side of the equation. -7 + 7 + -48r = -7 + 7 + -1r Combine like terms: -7 + 7 = 0 0 + -48r = -7 + 7 + -1r -48r = -7 + 7 + -1r Combine like terms: -7 + 7 = 0 -48r = 0 + -1r -48r = -1r Solving -48r = -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -48r + r = -1r + r Combine like terms: -48r + r = -47r -47r = -1r + r Combine like terms: -1r + r = 0 -47r = 0 Divide each side by '-47'. r = 0 Simplifying r = 0
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