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Simplifying -3(r + -7) = 6(7r + -4) Reorder the terms: -3(-7 + r) = 6(7r + -4) (-7 * -3 + r * -3) = 6(7r + -4) (21 + -3r) = 6(7r + -4) Reorder the terms: 21 + -3r = 6(-4 + 7r) 21 + -3r = (-4 * 6 + 7r * 6) 21 + -3r = (-24 + 42r) Solving 21 + -3r = -24 + 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. 21 + -3r + -42r = -24 + 42r + -42r Combine like terms: -3r + -42r = -45r 21 + -45r = -24 + 42r + -42r Combine like terms: 42r + -42r = 0 21 + -45r = -24 + 0 21 + -45r = -24 Add '-21' to each side of the equation. 21 + -21 + -45r = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -45r = -24 + -21 -45r = -24 + -21 Combine like terms: -24 + -21 = -45 -45r = -45 Divide each side by '-45'. r = 1 Simplifying r = 1
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