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Simplifying 3(z + -4) + 7z + -3 = 0 Reorder the terms: 3(-4 + z) + 7z + -3 = 0 (-4 * 3 + z * 3) + 7z + -3 = 0 (-12 + 3z) + 7z + -3 = 0 Reorder the terms: -12 + -3 + 3z + 7z = 0 Combine like terms: -12 + -3 = -15 -15 + 3z + 7z = 0 Combine like terms: 3z + 7z = 10z -15 + 10z = 0 Solving -15 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 10z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 10z = 0 + 15 10z = 0 + 15 Combine like terms: 0 + 15 = 15 10z = 15 Divide each side by '10'. z = 1.5 Simplifying z = 1.5
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