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Simplifying 20 + -1(-7 + -0.6z) + -0.4z + (3(-7 + -0.6z)) + 2z = 48 20 + (-7 * -1 + -0.6z * -1) + -0.4z + (3(-7 + -0.6z)) + 2z = 48 20 + (7 + 0.6z) + -0.4z + (3(-7 + -0.6z)) + 2z = 48 20 + 7 + 0.6z + -0.4z + ((-7 * 3 + -0.6z * 3)) + 2z = 48 20 + 7 + 0.6z + -0.4z + ((-21 + -1.8z)) + 2z = 48 20 + 7 + 0.6z + -0.4z + (-21 + -1.8z) + 2z = 48 Remove parenthesis around (-21 + -1.8z) 20 + 7 + 0.6z + -0.4z + -21 + -1.8z + 2z = 48 Reorder the terms: 20 + 7 + -21 + 0.6z + -0.4z + -1.8z + 2z = 48 Combine like terms: 20 + 7 = 27 27 + -21 + 0.6z + -0.4z + -1.8z + 2z = 48 Combine like terms: 27 + -21 = 6 6 + 0.6z + -0.4z + -1.8z + 2z = 48 Combine like terms: 0.6z + -0.4z = 0.2z 6 + 0.2z + -1.8z + 2z = 48 Combine like terms: 0.2z + -1.8z = -1.6z 6 + -1.6z + 2z = 48 Combine like terms: -1.6z + 2z = 0.4z 6 + 0.4z = 48 Solving 6 + 0.4z = 48 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.4z = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 0.4z = 48 + -6 0.4z = 48 + -6 Combine like terms: 48 + -6 = 42 0.4z = 42 Divide each side by '0.4'. z = 105 Simplifying z = 105
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