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Simplifying 4(1 + -7r) + 2 = 6(1 + -6r) (1 * 4 + -7r * 4) + 2 = 6(1 + -6r) (4 + -28r) + 2 = 6(1 + -6r) Reorder the terms: 4 + 2 + -28r = 6(1 + -6r) Combine like terms: 4 + 2 = 6 6 + -28r = 6(1 + -6r) 6 + -28r = (1 * 6 + -6r * 6) 6 + -28r = (6 + -36r) Add '-6' to each side of the equation. 6 + -6 + -28r = 6 + -6 + -36r Combine like terms: 6 + -6 = 0 0 + -28r = 6 + -6 + -36r -28r = 6 + -6 + -36r Combine like terms: 6 + -6 = 0 -28r = 0 + -36r -28r = -36r Solving -28r = -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. -28r + 36r = -36r + 36r Combine like terms: -28r + 36r = 8r 8r = -36r + 36r Combine like terms: -36r + 36r = 0 8r = 0 Divide each side by '8'. r = 0 Simplifying r = 0
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