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Simplifying (-7y + 10z) + -1(8y + -5z) = 0 Remove parenthesis around (-7y + 10z) -7y + 10z + -1(8y + -5z) = 0 -7y + 10z + (8y * -1 + -5z * -1) = 0 -7y + 10z + (-8y + 5z) = 0 Reorder the terms: -7y + -8y + 10z + 5z = 0 Combine like terms: -7y + -8y = -15y -15y + 10z + 5z = 0 Combine like terms: 10z + 5z = 15z -15y + 15z = 0 Solving -15y + 15z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15z' to each side of the equation. -15y + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 -15y + 0 = 0 + -15z -15y = 0 + -15z Remove the zero: -15y = -15z Divide each side by '-15'. y = z Simplifying y = z
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