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Simplifying 6b + -10 = 2(b + -1) + 4(b + -2) Reorder the terms: -10 + 6b = 2(b + -1) + 4(b + -2) Reorder the terms: -10 + 6b = 2(-1 + b) + 4(b + -2) -10 + 6b = (-1 * 2 + b * 2) + 4(b + -2) -10 + 6b = (-2 + 2b) + 4(b + -2) Reorder the terms: -10 + 6b = -2 + 2b + 4(-2 + b) -10 + 6b = -2 + 2b + (-2 * 4 + b * 4) -10 + 6b = -2 + 2b + (-8 + 4b) Reorder the terms: -10 + 6b = -2 + -8 + 2b + 4b Combine like terms: -2 + -8 = -10 -10 + 6b = -10 + 2b + 4b Combine like terms: 2b + 4b = 6b -10 + 6b = -10 + 6b Add '10' to each side of the equation. -10 + 10 + 6b = -10 + 10 + 6b Combine like terms: -10 + 10 = 0 0 + 6b = -10 + 10 + 6b 6b = -10 + 10 + 6b Combine like terms: -10 + 10 = 0 6b = 0 + 6b 6b = 6b Add '-6b' to each side of the equation. 6b + -6b = 6b + -6b Combine like terms: 6b + -6b = 0 0 = 6b + -6b Combine like terms: 6b + -6b = 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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