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Simplifying 15(2b + -5) + 10 = 10b + -16 + 20b + -49 Reorder the terms: 15(-5 + 2b) + 10 = 10b + -16 + 20b + -49 (-5 * 15 + 2b * 15) + 10 = 10b + -16 + 20b + -49 (-75 + 30b) + 10 = 10b + -16 + 20b + -49 Reorder the terms: -75 + 10 + 30b = 10b + -16 + 20b + -49 Combine like terms: -75 + 10 = -65 -65 + 30b = 10b + -16 + 20b + -49 Reorder the terms: -65 + 30b = -16 + -49 + 10b + 20b Combine like terms: -16 + -49 = -65 -65 + 30b = -65 + 10b + 20b Combine like terms: 10b + 20b = 30b -65 + 30b = -65 + 30b Add '65' to each side of the equation. -65 + 65 + 30b = -65 + 65 + 30b Combine like terms: -65 + 65 = 0 0 + 30b = -65 + 65 + 30b 30b = -65 + 65 + 30b Combine like terms: -65 + 65 = 0 30b = 0 + 30b 30b = 30b Add '-30b' to each side of the equation. 30b + -30b = 30b + -30b Combine like terms: 30b + -30b = 0 0 = 30b + -30b Combine like terms: 30b + -30b = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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