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Simplifying 7(z + -5) + 6z + -3 = 0 Reorder the terms: 7(-5 + z) + 6z + -3 = 0 (-5 * 7 + z * 7) + 6z + -3 = 0 (-35 + 7z) + 6z + -3 = 0 Reorder the terms: -35 + -3 + 7z + 6z = 0 Combine like terms: -35 + -3 = -38 -38 + 7z + 6z = 0 Combine like terms: 7z + 6z = 13z -38 + 13z = 0 Solving -38 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 13z = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 13z = 0 + 38 13z = 0 + 38 Combine like terms: 0 + 38 = 38 13z = 38 Divide each side by '13'. z = 2.923076923 Simplifying z = 2.923076923
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