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Simplifying 7 + (z + 9) = -6(-3z + 4) + -5 Reorder the terms: 7 + (9 + z) = -6(-3z + 4) + -5 Remove parenthesis around (9 + z) 7 + 9 + z = -6(-3z + 4) + -5 Combine like terms: 7 + 9 = 16 16 + z = -6(-3z + 4) + -5 Reorder the terms: 16 + z = -6(4 + -3z) + -5 16 + z = (4 * -6 + -3z * -6) + -5 16 + z = (-24 + 18z) + -5 Reorder the terms: 16 + z = -24 + -5 + 18z Combine like terms: -24 + -5 = -29 16 + z = -29 + 18z Solving 16 + z = -29 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 16 + z + -18z = -29 + 18z + -18z Combine like terms: z + -18z = -17z 16 + -17z = -29 + 18z + -18z Combine like terms: 18z + -18z = 0 16 + -17z = -29 + 0 16 + -17z = -29 Add '-16' to each side of the equation. 16 + -16 + -17z = -29 + -16 Combine like terms: 16 + -16 = 0 0 + -17z = -29 + -16 -17z = -29 + -16 Combine like terms: -29 + -16 = -45 -17z = -45 Divide each side by '-17'. z = 2.647058824 Simplifying z = 2.647058824
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