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Simplifying 10(-9a + 3) + 8 = 10a + 38 Reorder the terms: 10(3 + -9a) + 8 = 10a + 38 (3 * 10 + -9a * 10) + 8 = 10a + 38 (30 + -90a) + 8 = 10a + 38 Reorder the terms: 30 + 8 + -90a = 10a + 38 Combine like terms: 30 + 8 = 38 38 + -90a = 10a + 38 Reorder the terms: 38 + -90a = 38 + 10a Add '-38' to each side of the equation. 38 + -38 + -90a = 38 + -38 + 10a Combine like terms: 38 + -38 = 0 0 + -90a = 38 + -38 + 10a -90a = 38 + -38 + 10a Combine like terms: 38 + -38 = 0 -90a = 0 + 10a -90a = 10a Solving -90a = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -90a + -10a = 10a + -10a Combine like terms: -90a + -10a = -100a -100a = 10a + -10a Combine like terms: 10a + -10a = 0 -100a = 0 Divide each side by '-100'. a = 0.00 Simplifying a = 0.00
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