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Simplifying -4(6 + 7r) = -1r + 30 (6 * -4 + 7r * -4) = -1r + 30 (-24 + -28r) = -1r + 30 Reorder the terms: -24 + -28r = 30 + -1r Solving -24 + -28r = 30 + -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. -24 + -28r + r = 30 + -1r + r Combine like terms: -28r + r = -27r -24 + -27r = 30 + -1r + r Combine like terms: -1r + r = 0 -24 + -27r = 30 + 0 -24 + -27r = 30 Add '24' to each side of the equation. -24 + 24 + -27r = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -27r = 30 + 24 -27r = 30 + 24 Combine like terms: 30 + 24 = 54 -27r = 54 Divide each side by '-27'. r = -2 Simplifying r = -2
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