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Simplifying 7(2 + -5b) + -32 = 10b + -3(6 + 15b) (2 * 7 + -5b * 7) + -32 = 10b + -3(6 + 15b) (14 + -35b) + -32 = 10b + -3(6 + 15b) Reorder the terms: 14 + -32 + -35b = 10b + -3(6 + 15b) Combine like terms: 14 + -32 = -18 -18 + -35b = 10b + -3(6 + 15b) -18 + -35b = 10b + (6 * -3 + 15b * -3) -18 + -35b = 10b + (-18 + -45b) Reorder the terms: -18 + -35b = -18 + 10b + -45b Combine like terms: 10b + -45b = -35b -18 + -35b = -18 + -35b Add '18' to each side of the equation. -18 + 18 + -35b = -18 + 18 + -35b Combine like terms: -18 + 18 = 0 0 + -35b = -18 + 18 + -35b -35b = -18 + 18 + -35b Combine like terms: -18 + 18 = 0 -35b = 0 + -35b -35b = -35b Add '35b' to each side of the equation. -35b + 35b = -35b + 35b Combine like terms: -35b + 35b = 0 0 = -35b + 35b Combine like terms: -35b + 35b = 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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