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Simplifying 10 + -69 = 10(10a + 1) Combine like terms: 10 + -69 = -59 -59 = 10(10a + 1) Reorder the terms: -59 = 10(1 + 10a) -59 = (1 * 10 + 10a * 10) -59 = (10 + 100a) Solving -59 = 10 + 100a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100a' to each side of the equation. -59 + -100a = 10 + 100a + -100a Combine like terms: 100a + -100a = 0 -59 + -100a = 10 + 0 -59 + -100a = 10 Add '59' to each side of the equation. -59 + 59 + -100a = 10 + 59 Combine like terms: -59 + 59 = 0 0 + -100a = 10 + 59 -100a = 10 + 59 Combine like terms: 10 + 59 = 69 -100a = 69 Divide each side by '-100'. a = -0.69 Simplifying a = -0.69
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