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Simplifying 4(z + -7) + -38 = 26z + -5(2 + 6z) Reorder the terms: 4(-7 + z) + -38 = 26z + -5(2 + 6z) (-7 * 4 + z * 4) + -38 = 26z + -5(2 + 6z) (-28 + 4z) + -38 = 26z + -5(2 + 6z) Reorder the terms: -28 + -38 + 4z = 26z + -5(2 + 6z) Combine like terms: -28 + -38 = -66 -66 + 4z = 26z + -5(2 + 6z) -66 + 4z = 26z + (2 * -5 + 6z * -5) -66 + 4z = 26z + (-10 + -30z) Reorder the terms: -66 + 4z = -10 + 26z + -30z Combine like terms: 26z + -30z = -4z -66 + 4z = -10 + -4z Solving -66 + 4z = -10 + -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. -66 + 4z + 4z = -10 + -4z + 4z Combine like terms: 4z + 4z = 8z -66 + 8z = -10 + -4z + 4z Combine like terms: -4z + 4z = 0 -66 + 8z = -10 + 0 -66 + 8z = -10 Add '66' to each side of the equation. -66 + 66 + 8z = -10 + 66 Combine like terms: -66 + 66 = 0 0 + 8z = -10 + 66 8z = -10 + 66 Combine like terms: -10 + 66 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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