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Simplifying -7(4z) + 3(7z + -5) + 3 = 0 Remove parenthesis around (4z) -7 * 4z + 3(7z + -5) + 3 = 0 Multiply -7 * 4 -28z + 3(7z + -5) + 3 = 0 Reorder the terms: -28z + 3(-5 + 7z) + 3 = 0 -28z + (-5 * 3 + 7z * 3) + 3 = 0 -28z + (-15 + 21z) + 3 = 0 Reorder the terms: -15 + 3 + -28z + 21z = 0 Combine like terms: -15 + 3 = -12 -12 + -28z + 21z = 0 Combine like terms: -28z + 21z = -7z -12 + -7z = 0 Solving -12 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -7z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7z = 0 + 12 -7z = 0 + 12 Combine like terms: 0 + 12 = 12 -7z = 12 Divide each side by '-7'. z = -1.714285714 Simplifying z = -1.714285714
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