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