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Simplifying 0.3(3z + -6) + -5.6 = 0.4(3z + -4) Reorder the terms: 0.3(-6 + 3z) + -5.6 = 0.4(3z + -4) (-6 * 0.3 + 3z * 0.3) + -5.6 = 0.4(3z + -4) (-1.8 + 0.9z) + -5.6 = 0.4(3z + -4) Reorder the terms: -1.8 + -5.6 + 0.9z = 0.4(3z + -4) Combine like terms: -1.8 + -5.6 = -7.4 -7.4 + 0.9z = 0.4(3z + -4) Reorder the terms: -7.4 + 0.9z = 0.4(-4 + 3z) -7.4 + 0.9z = (-4 * 0.4 + 3z * 0.4) -7.4 + 0.9z = (-1.6 + 1.2z) Solving -7.4 + 0.9z = -1.6 + 1.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.2z' to each side of the equation. -7.4 + 0.9z + -1.2z = -1.6 + 1.2z + -1.2z Combine like terms: 0.9z + -1.2z = -0.3z -7.4 + -0.3z = -1.6 + 1.2z + -1.2z Combine like terms: 1.2z + -1.2z = 0.0 -7.4 + -0.3z = -1.6 + 0.0 -7.4 + -0.3z = -1.6 Add '7.4' to each side of the equation. -7.4 + 7.4 + -0.3z = -1.6 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + -0.3z = -1.6 + 7.4 -0.3z = -1.6 + 7.4 Combine like terms: -1.6 + 7.4 = 5.8 -0.3z = 5.8 Divide each side by '-0.3'. z = -19.33333333 Simplifying z = -19.33333333
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