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Simplifying 3(r + -7) = 4(2 + -2r) + 4 Reorder the terms: 3(-7 + r) = 4(2 + -2r) + 4 (-7 * 3 + r * 3) = 4(2 + -2r) + 4 (-21 + 3r) = 4(2 + -2r) + 4 -21 + 3r = (2 * 4 + -2r * 4) + 4 -21 + 3r = (8 + -8r) + 4 Reorder the terms: -21 + 3r = 8 + 4 + -8r Combine like terms: 8 + 4 = 12 -21 + 3r = 12 + -8r Solving -21 + 3r = 12 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -21 + 3r + 8r = 12 + -8r + 8r Combine like terms: 3r + 8r = 11r -21 + 11r = 12 + -8r + 8r Combine like terms: -8r + 8r = 0 -21 + 11r = 12 + 0 -21 + 11r = 12 Add '21' to each side of the equation. -21 + 21 + 11r = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 11r = 12 + 21 11r = 12 + 21 Combine like terms: 12 + 21 = 33 11r = 33 Divide each side by '11'. r = 3 Simplifying r = 3
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