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Simplifying 2 + 1.5(z + 2) = 3.5z + -7 Reorder the terms: 2 + 1.5(2 + z) = 3.5z + -7 2 + (2 * 1.5 + z * 1.5) = 3.5z + -7 2 + (3 + 1.5z) = 3.5z + -7 Combine like terms: 2 + 3 = 5 5 + 1.5z = 3.5z + -7 Reorder the terms: 5 + 1.5z = -7 + 3.5z Solving 5 + 1.5z = -7 + 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. 5 + 1.5z + -3.5z = -7 + 3.5z + -3.5z Combine like terms: 1.5z + -3.5z = -2z 5 + -2z = -7 + 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 5 + -2z = -7 + 0.0 5 + -2z = -7 Add '-5' to each side of the equation. 5 + -5 + -2z = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = -7 + -5 -2z = -7 + -5 Combine like terms: -7 + -5 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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