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Simplifying -4 + -6(6 + 8r) = 7r + -40 -4 + (6 * -6 + 8r * -6) = 7r + -40 -4 + (-36 + -48r) = 7r + -40 Combine like terms: -4 + -36 = -40 -40 + -48r = 7r + -40 Reorder the terms: -40 + -48r = -40 + 7r Add '40' to each side of the equation. -40 + 40 + -48r = -40 + 40 + 7r Combine like terms: -40 + 40 = 0 0 + -48r = -40 + 40 + 7r -48r = -40 + 40 + 7r Combine like terms: -40 + 40 = 0 -48r = 0 + 7r -48r = 7r Solving -48r = 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -48r + -7r = 7r + -7r Combine like terms: -48r + -7r = -55r -55r = 7r + -7r Combine like terms: 7r + -7r = 0 -55r = 0 Divide each side by '-55'. r = 0 Simplifying r = 0
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