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Simplifying -1z + -9 = 3.4(2z + 4.3) Reorder the terms: -9 + -1z = 3.4(2z + 4.3) Reorder the terms: -9 + -1z = 3.4(4.3 + 2z) -9 + -1z = (4.3 * 3.4 + 2z * 3.4) -9 + -1z = (14.62 + 6.8z) Solving -9 + -1z = 14.62 + 6.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.8z' to each side of the equation. -9 + -1z + -6.8z = 14.62 + 6.8z + -6.8z Combine like terms: -1z + -6.8z = -7.8z -9 + -7.8z = 14.62 + 6.8z + -6.8z Combine like terms: 6.8z + -6.8z = 0.0 -9 + -7.8z = 14.62 + 0.0 -9 + -7.8z = 14.62 Add '9' to each side of the equation. -9 + 9 + -7.8z = 14.62 + 9 Combine like terms: -9 + 9 = 0 0 + -7.8z = 14.62 + 9 -7.8z = 14.62 + 9 Combine like terms: 14.62 + 9 = 23.62 -7.8z = 23.62 Divide each side by '-7.8'. z = -3.028205128 Simplifying z = -3.028205128
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