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Simplifying 3(9 + -1z) + -35 = 17z + -4(2 + 5z) (9 * 3 + -1z * 3) + -35 = 17z + -4(2 + 5z) (27 + -3z) + -35 = 17z + -4(2 + 5z) Reorder the terms: 27 + -35 + -3z = 17z + -4(2 + 5z) Combine like terms: 27 + -35 = -8 -8 + -3z = 17z + -4(2 + 5z) -8 + -3z = 17z + (2 * -4 + 5z * -4) -8 + -3z = 17z + (-8 + -20z) Reorder the terms: -8 + -3z = -8 + 17z + -20z Combine like terms: 17z + -20z = -3z -8 + -3z = -8 + -3z Add '8' to each side of the equation. -8 + 8 + -3z = -8 + 8 + -3z Combine like terms: -8 + 8 = 0 0 + -3z = -8 + 8 + -3z -3z = -8 + 8 + -3z Combine like terms: -8 + 8 = 0 -3z = 0 + -3z -3z = -3z Add '3z' to each side of the equation. -3z + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 0 = -3z + 3z Combine like terms: -3z + 3z = 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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