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Simplifying 0.33(15z + -21) = 0.4(10z + -35) Reorder the terms: 0.33(-21 + 15z) = 0.4(10z + -35) (-21 * 0.33 + 15z * 0.33) = 0.4(10z + -35) (-6.93 + 4.95z) = 0.4(10z + -35) Reorder the terms: -6.93 + 4.95z = 0.4(-35 + 10z) -6.93 + 4.95z = (-35 * 0.4 + 10z * 0.4) -6.93 + 4.95z = (-14 + 4z) Solving -6.93 + 4.95z = -14 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -6.93 + 4.95z + -4z = -14 + 4z + -4z Combine like terms: 4.95z + -4z = 0.95z -6.93 + 0.95z = -14 + 4z + -4z Combine like terms: 4z + -4z = 0 -6.93 + 0.95z = -14 + 0 -6.93 + 0.95z = -14 Add '6.93' to each side of the equation. -6.93 + 6.93 + 0.95z = -14 + 6.93 Combine like terms: -6.93 + 6.93 = 0.00 0.00 + 0.95z = -14 + 6.93 0.95z = -14 + 6.93 Combine like terms: -14 + 6.93 = -7.07 0.95z = -7.07 Divide each side by '0.95'. z = -7.442105263 Simplifying z = -7.442105263
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