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Simplifying 10(10a + -10) + 9 = 7a + 188 Reorder the terms: 10(-10 + 10a) + 9 = 7a + 188 (-10 * 10 + 10a * 10) + 9 = 7a + 188 (-100 + 100a) + 9 = 7a + 188 Reorder the terms: -100 + 9 + 100a = 7a + 188 Combine like terms: -100 + 9 = -91 -91 + 100a = 7a + 188 Reorder the terms: -91 + 100a = 188 + 7a Solving -91 + 100a = 188 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -91 + 100a + -7a = 188 + 7a + -7a Combine like terms: 100a + -7a = 93a -91 + 93a = 188 + 7a + -7a Combine like terms: 7a + -7a = 0 -91 + 93a = 188 + 0 -91 + 93a = 188 Add '91' to each side of the equation. -91 + 91 + 93a = 188 + 91 Combine like terms: -91 + 91 = 0 0 + 93a = 188 + 91 93a = 188 + 91 Combine like terms: 188 + 91 = 279 93a = 279 Divide each side by '93'. a = 3 Simplifying a = 3
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