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Simplifying 4 + 1.5(z + 6) = 3.5z + -1 Reorder the terms: 4 + 1.5(6 + z) = 3.5z + -1 4 + (6 * 1.5 + z * 1.5) = 3.5z + -1 4 + (9 + 1.5z) = 3.5z + -1 Combine like terms: 4 + 9 = 13 13 + 1.5z = 3.5z + -1 Reorder the terms: 13 + 1.5z = -1 + 3.5z Solving 13 + 1.5z = -1 + 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. 13 + 1.5z + -3.5z = -1 + 3.5z + -3.5z Combine like terms: 1.5z + -3.5z = -2z 13 + -2z = -1 + 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 13 + -2z = -1 + 0.0 13 + -2z = -1 Add '-13' to each side of the equation. 13 + -13 + -2z = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -2z = -1 + -13 -2z = -1 + -13 Combine like terms: -1 + -13 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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