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Simplifying 7(1 + -6r) = 6r + 7 (1 * 7 + -6r * 7) = 6r + 7 (7 + -42r) = 6r + 7 Reorder the terms: 7 + -42r = 7 + 6r Add '-7' to each side of the equation. 7 + -7 + -42r = 7 + -7 + 6r Combine like terms: 7 + -7 = 0 0 + -42r = 7 + -7 + 6r -42r = 7 + -7 + 6r Combine like terms: 7 + -7 = 0 -42r = 0 + 6r -42r = 6r Solving -42r = 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. -42r + -6r = 6r + -6r Combine like terms: -42r + -6r = -48r -48r = 6r + -6r Combine like terms: 6r + -6r = 0 -48r = 0 Divide each side by '-48'. r = 0 Simplifying r = 0
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