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Simplifying 6r + -24 = -6(7r + 4) Reorder the terms: -24 + 6r = -6(7r + 4) Reorder the terms: -24 + 6r = -6(4 + 7r) -24 + 6r = (4 * -6 + 7r * -6) -24 + 6r = (-24 + -42r) Add '24' to each side of the equation. -24 + 24 + 6r = -24 + 24 + -42r Combine like terms: -24 + 24 = 0 0 + 6r = -24 + 24 + -42r 6r = -24 + 24 + -42r Combine like terms: -24 + 24 = 0 6r = 0 + -42r 6r = -42r Solving 6r = -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. 6r + 42r = -42r + 42r Combine like terms: 6r + 42r = 48r 48r = -42r + 42r Combine like terms: -42r + 42r = 0 48r = 0 Divide each side by '48'. r = 0 Simplifying r = 0
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