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Simplifying -6 + -1(3z + -2) = 5z + -4(2z + 1) Reorder the terms: -6 + -1(-2 + 3z) = 5z + -4(2z + 1) -6 + (-2 * -1 + 3z * -1) = 5z + -4(2z + 1) -6 + (2 + -3z) = 5z + -4(2z + 1) Combine like terms: -6 + 2 = -4 -4 + -3z = 5z + -4(2z + 1) Reorder the terms: -4 + -3z = 5z + -4(1 + 2z) -4 + -3z = 5z + (1 * -4 + 2z * -4) -4 + -3z = 5z + (-4 + -8z) Reorder the terms: -4 + -3z = -4 + 5z + -8z Combine like terms: 5z + -8z = -3z -4 + -3z = -4 + -3z Add '4' to each side of the equation. -4 + 4 + -3z = -4 + 4 + -3z Combine like terms: -4 + 4 = 0 0 + -3z = -4 + 4 + -3z -3z = -4 + 4 + -3z Combine like terms: -4 + 4 = 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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