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Simplifying 6a + -10 = 16(12 + 8a) + 10 Reorder the terms: -10 + 6a = 16(12 + 8a) + 10 -10 + 6a = (12 * 16 + 8a * 16) + 10 -10 + 6a = (192 + 128a) + 10 Reorder the terms: -10 + 6a = 192 + 10 + 128a Combine like terms: 192 + 10 = 202 -10 + 6a = 202 + 128a Solving -10 + 6a = 202 + 128a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-128a' to each side of the equation. -10 + 6a + -128a = 202 + 128a + -128a Combine like terms: 6a + -128a = -122a -10 + -122a = 202 + 128a + -128a Combine like terms: 128a + -128a = 0 -10 + -122a = 202 + 0 -10 + -122a = 202 Add '10' to each side of the equation. -10 + 10 + -122a = 202 + 10 Combine like terms: -10 + 10 = 0 0 + -122a = 202 + 10 -122a = 202 + 10 Combine like terms: 202 + 10 = 212 -122a = 212 Divide each side by '-122'. a = -1.737704918 Simplifying a = -1.737704918
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