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Simplifying 2 + 1.5(z + 4) = 3.5z + -6 Reorder the terms: 2 + 1.5(4 + z) = 3.5z + -6 2 + (4 * 1.5 + z * 1.5) = 3.5z + -6 2 + (6 + 1.5z) = 3.5z + -6 Combine like terms: 2 + 6 = 8 8 + 1.5z = 3.5z + -6 Reorder the terms: 8 + 1.5z = -6 + 3.5z Solving 8 + 1.5z = -6 + 3.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.5z' to each side of the equation. 8 + 1.5z + -3.5z = -6 + 3.5z + -3.5z Combine like terms: 1.5z + -3.5z = -2z 8 + -2z = -6 + 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 8 + -2z = -6 + 0.0 8 + -2z = -6 Add '-8' to each side of the equation. 8 + -8 + -2z = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = -6 + -8 -2z = -6 + -8 Combine like terms: -6 + -8 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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