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Simplifying 3a + -8 = 4(a + 1) + 16a + 6 Reorder the terms: -8 + 3a = 4(a + 1) + 16a + 6 Reorder the terms: -8 + 3a = 4(1 + a) + 16a + 6 -8 + 3a = (1 * 4 + a * 4) + 16a + 6 -8 + 3a = (4 + 4a) + 16a + 6 Reorder the terms: -8 + 3a = 4 + 6 + 4a + 16a Combine like terms: 4 + 6 = 10 -8 + 3a = 10 + 4a + 16a Combine like terms: 4a + 16a = 20a -8 + 3a = 10 + 20a Solving -8 + 3a = 10 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -8 + 3a + -20a = 10 + 20a + -20a Combine like terms: 3a + -20a = -17a -8 + -17a = 10 + 20a + -20a Combine like terms: 20a + -20a = 0 -8 + -17a = 10 + 0 -8 + -17a = 10 Add '8' to each side of the equation. -8 + 8 + -17a = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -17a = 10 + 8 -17a = 10 + 8 Combine like terms: 10 + 8 = 18 -17a = 18 Divide each side by '-17'. a = -1.058823529 Simplifying a = -1.058823529
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