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Simplifying 6 + -3(6z + 4) = 7(z + -6) + -5 Reorder the terms: 6 + -3(4 + 6z) = 7(z + -6) + -5 6 + (4 * -3 + 6z * -3) = 7(z + -6) + -5 6 + (-12 + -18z) = 7(z + -6) + -5 Combine like terms: 6 + -12 = -6 -6 + -18z = 7(z + -6) + -5 Reorder the terms: -6 + -18z = 7(-6 + z) + -5 -6 + -18z = (-6 * 7 + z * 7) + -5 -6 + -18z = (-42 + 7z) + -5 Reorder the terms: -6 + -18z = -42 + -5 + 7z Combine like terms: -42 + -5 = -47 -6 + -18z = -47 + 7z Solving -6 + -18z = -47 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -6 + -18z + -7z = -47 + 7z + -7z Combine like terms: -18z + -7z = -25z -6 + -25z = -47 + 7z + -7z Combine like terms: 7z + -7z = 0 -6 + -25z = -47 + 0 -6 + -25z = -47 Add '6' to each side of the equation. -6 + 6 + -25z = -47 + 6 Combine like terms: -6 + 6 = 0 0 + -25z = -47 + 6 -25z = -47 + 6 Combine like terms: -47 + 6 = -41 -25z = -41 Divide each side by '-25'. z = 1.64 Simplifying z = 1.64
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