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Simplifying -3(4z + 7) + -3(5z) + -10z = 0 Reorder the terms: -3(7 + 4z) + -3(5z) + -10z = 0 (7 * -3 + 4z * -3) + -3(5z) + -10z = 0 (-21 + -12z) + -3(5z) + -10z = 0 Remove parenthesis around (5z) -21 + -12z + -3 * 5z + -10z = 0 Multiply -3 * 5 -21 + -12z + -15z + -10z = 0 Combine like terms: -12z + -15z = -27z -21 + -27z + -10z = 0 Combine like terms: -27z + -10z = -37z -21 + -37z = 0 Solving -21 + -37z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -37z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -37z = 0 + 21 -37z = 0 + 21 Combine like terms: 0 + 21 = 21 -37z = 21 Divide each side by '-37'. z = -0.5675675676 Simplifying z = -0.5675675676
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