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Simplifying 3(r + -7) = 5(3 + r) Reorder the terms: 3(-7 + r) = 5(3 + r) (-7 * 3 + r * 3) = 5(3 + r) (-21 + 3r) = 5(3 + r) -21 + 3r = (3 * 5 + r * 5) -21 + 3r = (15 + 5r) Solving -21 + 3r = 15 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -21 + 3r + -5r = 15 + 5r + -5r Combine like terms: 3r + -5r = -2r -21 + -2r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 -21 + -2r = 15 + 0 -21 + -2r = 15 Add '21' to each side of the equation. -21 + 21 + -2r = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -2r = 15 + 21 -2r = 15 + 21 Combine like terms: 15 + 21 = 36 -2r = 36 Divide each side by '-2'. r = -18 Simplifying r = -18
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