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Simplifying 4(-2) * z + 8(-2) + 3 + (-2) + 6 = 0 Multiply 4 * -2 -8z + 8(-2) + 3 + (-2) + 6 = 0 Multiply 8 * -2 -8z + -16 + 3 + (-2) + 6 = 0 -8z + -16 + 3 + -2 + 6 = 0 Reorder the terms: -16 + 3 + -2 + 6 + -8z = 0 Combine like terms: -16 + 3 = -13 -13 + -2 + 6 + -8z = 0 Combine like terms: -13 + -2 = -15 -15 + 6 + -8z = 0 Combine like terms: -15 + 6 = -9 -9 + -8z = 0 Solving -9 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8z = 0 + 9 -8z = 0 + 9 Combine like terms: 0 + 9 = 9 -8z = 9 Divide each side by '-8'. z = -1.125 Simplifying z = -1.125
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