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Simplifying 5(a + 2b + 10) + 2y + 7 = 0 Reorder the terms: 5(10 + a + 2b) + 2y + 7 = 0 (10 * 5 + a * 5 + 2b * 5) + 2y + 7 = 0 (50 + 5a + 10b) + 2y + 7 = 0 Reorder the terms: 50 + 7 + 5a + 10b + 2y = 0 Combine like terms: 50 + 7 = 57 57 + 5a + 10b + 2y = 0 Solving 57 + 5a + 10b + 2y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + 5a + 10b + -57 + 2y = 0 + -57 Reorder the terms: 57 + -57 + 5a + 10b + 2y = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 5a + 10b + 2y = 0 + -57 5a + 10b + 2y = 0 + -57 Combine like terms: 0 + -57 = -57 5a + 10b + 2y = -57 Add '-10b' to each side of the equation. 5a + 10b + -10b + 2y = -57 + -10b Combine like terms: 10b + -10b = 0 5a + 0 + 2y = -57 + -10b 5a + 2y = -57 + -10b Add '-2y' to each side of the equation. 5a + 2y + -2y = -57 + -10b + -2y Combine like terms: 2y + -2y = 0 5a + 0 = -57 + -10b + -2y 5a = -57 + -10b + -2y Divide each side by '5'. a = -11.4 + -2b + -0.4y Simplifying a = -11.4 + -2b + -0.4y
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