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Simplifying 5z + -2(3 + -3z) = 4(z + -2) + -7 5z + (3 * -2 + -3z * -2) = 4(z + -2) + -7 5z + (-6 + 6z) = 4(z + -2) + -7 Reorder the terms: -6 + 5z + 6z = 4(z + -2) + -7 Combine like terms: 5z + 6z = 11z -6 + 11z = 4(z + -2) + -7 Reorder the terms: -6 + 11z = 4(-2 + z) + -7 -6 + 11z = (-2 * 4 + z * 4) + -7 -6 + 11z = (-8 + 4z) + -7 Reorder the terms: -6 + 11z = -8 + -7 + 4z Combine like terms: -8 + -7 = -15 -6 + 11z = -15 + 4z Solving -6 + 11z = -15 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -6 + 11z + -4z = -15 + 4z + -4z Combine like terms: 11z + -4z = 7z -6 + 7z = -15 + 4z + -4z Combine like terms: 4z + -4z = 0 -6 + 7z = -15 + 0 -6 + 7z = -15 Add '6' to each side of the equation. -6 + 6 + 7z = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 7z = -15 + 6 7z = -15 + 6 Combine like terms: -15 + 6 = -9 7z = -9 Divide each side by '7'. z = -1.285714286 Simplifying z = -1.285714286
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