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Simplifying 7a + 16 = 60(a + 30) + -4a Reorder the terms: 16 + 7a = 60(a + 30) + -4a Reorder the terms: 16 + 7a = 60(30 + a) + -4a 16 + 7a = (30 * 60 + a * 60) + -4a 16 + 7a = (1800 + 60a) + -4a Combine like terms: 60a + -4a = 56a 16 + 7a = 1800 + 56a Solving 16 + 7a = 1800 + 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. 16 + 7a + -56a = 1800 + 56a + -56a Combine like terms: 7a + -56a = -49a 16 + -49a = 1800 + 56a + -56a Combine like terms: 56a + -56a = 0 16 + -49a = 1800 + 0 16 + -49a = 1800 Add '-16' to each side of the equation. 16 + -16 + -49a = 1800 + -16 Combine like terms: 16 + -16 = 0 0 + -49a = 1800 + -16 -49a = 1800 + -16 Combine like terms: 1800 + -16 = 1784 -49a = 1784 Divide each side by '-49'. a = -36.40816327 Simplifying a = -36.40816327
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