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Simplifying 10(r + -3) = 4(2r + 9) Reorder the terms: 10(-3 + r) = 4(2r + 9) (-3 * 10 + r * 10) = 4(2r + 9) (-30 + 10r) = 4(2r + 9) Reorder the terms: -30 + 10r = 4(9 + 2r) -30 + 10r = (9 * 4 + 2r * 4) -30 + 10r = (36 + 8r) Solving -30 + 10r = 36 + 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. -30 + 10r + -8r = 36 + 8r + -8r Combine like terms: 10r + -8r = 2r -30 + 2r = 36 + 8r + -8r Combine like terms: 8r + -8r = 0 -30 + 2r = 36 + 0 -30 + 2r = 36 Add '30' to each side of the equation. -30 + 30 + 2r = 36 + 30 Combine like terms: -30 + 30 = 0 0 + 2r = 36 + 30 2r = 36 + 30 Combine like terms: 36 + 30 = 66 2r = 66 Divide each side by '2'. r = 33 Simplifying r = 33
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