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Simplifying 5(2r + 3) = 10(r + 7) + -5 Reorder the terms: 5(3 + 2r) = 10(r + 7) + -5 (3 * 5 + 2r * 5) = 10(r + 7) + -5 (15 + 10r) = 10(r + 7) + -5 Reorder the terms: 15 + 10r = 10(7 + r) + -5 15 + 10r = (7 * 10 + r * 10) + -5 15 + 10r = (70 + 10r) + -5 Reorder the terms: 15 + 10r = 70 + -5 + 10r Combine like terms: 70 + -5 = 65 15 + 10r = 65 + 10r Add '-10r' to each side of the equation. 15 + 10r + -10r = 65 + 10r + -10r Combine like terms: 10r + -10r = 0 15 + 0 = 65 + 10r + -10r 15 = 65 + 10r + -10r Combine like terms: 10r + -10r = 0 15 = 65 + 0 15 = 65 Solving 15 = 65 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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