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Simplifying 3(z + -1(6z + 35) + 10) = 4(z + 5) Reorder the terms: 3(z + -1(35 + 6z) + 10) = 4(z + 5) 3(z + (35 * -1 + 6z * -1) + 10) = 4(z + 5) 3(z + (-35 + -6z) + 10) = 4(z + 5) Reorder the terms: 3(-35 + 10 + z + -6z) = 4(z + 5) Combine like terms: -35 + 10 = -25 3(-25 + z + -6z) = 4(z + 5) Combine like terms: z + -6z = -5z 3(-25 + -5z) = 4(z + 5) (-25 * 3 + -5z * 3) = 4(z + 5) (-75 + -15z) = 4(z + 5) Reorder the terms: -75 + -15z = 4(5 + z) -75 + -15z = (5 * 4 + z * 4) -75 + -15z = (20 + 4z) Solving -75 + -15z = 20 + 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. -75 + -15z + -4z = 20 + 4z + -4z Combine like terms: -15z + -4z = -19z -75 + -19z = 20 + 4z + -4z Combine like terms: 4z + -4z = 0 -75 + -19z = 20 + 0 -75 + -19z = 20 Add '75' to each side of the equation. -75 + 75 + -19z = 20 + 75 Combine like terms: -75 + 75 = 0 0 + -19z = 20 + 75 -19z = 20 + 75 Combine like terms: 20 + 75 = 95 -19z = 95 Divide each side by '-19'. z = -5 Simplifying z = -5
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