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Simplifying 4(y + -1z) = 4(y) + 4(-1z) (y * 4 + -1z * 4) = 4(y) + 4(-1z) (4y + -4z) = 4(y) + 4(-1z) Remove parenthesis around (-1z) 4y + -4z = 4y + 4 * -1z Multiply 4 * -1 4y + -4z = 4y + -4z Add '-4y' to each side of the equation. 4y + -4y + -4z = 4y + -4y + -4z Combine like terms: 4y + -4y = 0 0 + -4z = 4y + -4y + -4z -4z = 4y + -4y + -4z Combine like terms: 4y + -4y = 0 -4z = 0 + -4z -4z = -4z Add '4z' to each side of the equation. -4z + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 0 = -4z + 4z Combine like terms: -4z + 4z = 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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