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Simplifying 20 + -6a = 10(10a + 1) Reorder the terms: 20 + -6a = 10(1 + 10a) 20 + -6a = (1 * 10 + 10a * 10) 20 + -6a = (10 + 100a) Solving 20 + -6a = 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. 20 + -6a + -100a = 10 + 100a + -100a Combine like terms: -6a + -100a = -106a 20 + -106a = 10 + 100a + -100a Combine like terms: 100a + -100a = 0 20 + -106a = 10 + 0 20 + -106a = 10 Add '-20' to each side of the equation. 20 + -20 + -106a = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -106a = 10 + -20 -106a = 10 + -20 Combine like terms: 10 + -20 = -10 -106a = -10 Divide each side by '-106'. a = 0.09433962264 Simplifying a = 0.09433962264
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