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Simplifying x + y + z + a + 80 + 90 = 100 Reorder the terms: 80 + 90 + a + x + y + z = 100 Combine like terms: 80 + 90 = 170 170 + a + x + y + z = 100 Solving 170 + a + x + y + z = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-170' to each side of the equation. 170 + a + x + y + -170 + z = 100 + -170 Reorder the terms: 170 + -170 + a + x + y + z = 100 + -170 Combine like terms: 170 + -170 = 0 0 + a + x + y + z = 100 + -170 a + x + y + z = 100 + -170 Combine like terms: 100 + -170 = -70 a + x + y + z = -70 Add '-1x' to each side of the equation. a + x + y + -1x + z = -70 + -1x Reorder the terms: a + x + -1x + y + z = -70 + -1x Combine like terms: x + -1x = 0 a + 0 + y + z = -70 + -1x a + y + z = -70 + -1x Add '-1y' to each side of the equation. a + y + -1y + z = -70 + -1x + -1y Combine like terms: y + -1y = 0 a + 0 + z = -70 + -1x + -1y a + z = -70 + -1x + -1y Add '-1z' to each side of the equation. a + z + -1z = -70 + -1x + -1y + -1z Combine like terms: z + -1z = 0 a + 0 = -70 + -1x + -1y + -1z a = -70 + -1x + -1y + -1z Simplifying a = -70 + -1x + -1y + -1z
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