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Simplifying 3(4z + -7) + -4(3z + -2) + -15z = 0 Reorder the terms: 3(-7 + 4z) + -4(3z + -2) + -15z = 0 (-7 * 3 + 4z * 3) + -4(3z + -2) + -15z = 0 (-21 + 12z) + -4(3z + -2) + -15z = 0 Reorder the terms: -21 + 12z + -4(-2 + 3z) + -15z = 0 -21 + 12z + (-2 * -4 + 3z * -4) + -15z = 0 -21 + 12z + (8 + -12z) + -15z = 0 Reorder the terms: -21 + 8 + 12z + -12z + -15z = 0 Combine like terms: -21 + 8 = -13 -13 + 12z + -12z + -15z = 0 Combine like terms: 12z + -12z = 0 -13 + 0 + -15z = 0 -13 + -15z = 0 Solving -13 + -15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -15z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -15z = 0 + 13 -15z = 0 + 13 Combine like terms: 0 + 13 = 13 -15z = 13 Divide each side by '-15'. z = -0.8666666667 Simplifying z = -0.8666666667
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