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Simplifying 3(r + -7) + 3(r + -1) = 4r + 3 Reorder the terms: 3(-7 + r) + 3(r + -1) = 4r + 3 (-7 * 3 + r * 3) + 3(r + -1) = 4r + 3 (-21 + 3r) + 3(r + -1) = 4r + 3 Reorder the terms: -21 + 3r + 3(-1 + r) = 4r + 3 -21 + 3r + (-1 * 3 + r * 3) = 4r + 3 -21 + 3r + (-3 + 3r) = 4r + 3 Reorder the terms: -21 + -3 + 3r + 3r = 4r + 3 Combine like terms: -21 + -3 = -24 -24 + 3r + 3r = 4r + 3 Combine like terms: 3r + 3r = 6r -24 + 6r = 4r + 3 Reorder the terms: -24 + 6r = 3 + 4r Solving -24 + 6r = 3 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -24 + 6r + -4r = 3 + 4r + -4r Combine like terms: 6r + -4r = 2r -24 + 2r = 3 + 4r + -4r Combine like terms: 4r + -4r = 0 -24 + 2r = 3 + 0 -24 + 2r = 3 Add '24' to each side of the equation. -24 + 24 + 2r = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 2r = 3 + 24 2r = 3 + 24 Combine like terms: 3 + 24 = 27 2r = 27 Divide each side by '2'. r = 13.5 Simplifying r = 13.5
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