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Simplifying -15z + 19z + -20 = -18z + 4(6z + -3) Reorder the terms: -20 + -15z + 19z = -18z + 4(6z + -3) Combine like terms: -15z + 19z = 4z -20 + 4z = -18z + 4(6z + -3) Reorder the terms: -20 + 4z = -18z + 4(-3 + 6z) -20 + 4z = -18z + (-3 * 4 + 6z * 4) -20 + 4z = -18z + (-12 + 24z) Reorder the terms: -20 + 4z = -12 + -18z + 24z Combine like terms: -18z + 24z = 6z -20 + 4z = -12 + 6z Solving -20 + 4z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -20 + 4z + -6z = -12 + 6z + -6z Combine like terms: 4z + -6z = -2z -20 + -2z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 -20 + -2z = -12 + 0 -20 + -2z = -12 Add '20' to each side of the equation. -20 + 20 + -2z = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -2z = -12 + 20 -2z = -12 + 20 Combine like terms: -12 + 20 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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