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Simplifying 5(3z + -4) + 3s + -2z = 0 Reorder the terms: 5(-4 + 3z) + 3s + -2z = 0 (-4 * 5 + 3z * 5) + 3s + -2z = 0 (-20 + 15z) + 3s + -2z = 0 Reorder the terms: -20 + 3s + 15z + -2z = 0 Combine like terms: 15z + -2z = 13z -20 + 3s + 13z = 0 Solving -20 + 3s + 13z = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 3s + 20 + 13z = 0 + 20 Reorder the terms: -20 + 20 + 3s + 13z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 3s + 13z = 0 + 20 3s + 13z = 0 + 20 Combine like terms: 0 + 20 = 20 3s + 13z = 20 Add '-13z' to each side of the equation. 3s + 13z + -13z = 20 + -13z Combine like terms: 13z + -13z = 0 3s + 0 = 20 + -13z 3s = 20 + -13z Divide each side by '3'. s = 6.666666667 + -4.333333333z Simplifying s = 6.666666667 + -4.333333333z
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