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Simplifying 3a + -8 = 6(a + 1) + 10a + 1 Reorder the terms: -8 + 3a = 6(a + 1) + 10a + 1 Reorder the terms: -8 + 3a = 6(1 + a) + 10a + 1 -8 + 3a = (1 * 6 + a * 6) + 10a + 1 -8 + 3a = (6 + 6a) + 10a + 1 Reorder the terms: -8 + 3a = 6 + 1 + 6a + 10a Combine like terms: 6 + 1 = 7 -8 + 3a = 7 + 6a + 10a Combine like terms: 6a + 10a = 16a -8 + 3a = 7 + 16a Solving -8 + 3a = 7 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -8 + 3a + -16a = 7 + 16a + -16a Combine like terms: 3a + -16a = -13a -8 + -13a = 7 + 16a + -16a Combine like terms: 16a + -16a = 0 -8 + -13a = 7 + 0 -8 + -13a = 7 Add '8' to each side of the equation. -8 + 8 + -13a = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -13a = 7 + 8 -13a = 7 + 8 Combine like terms: 7 + 8 = 15 -13a = 15 Divide each side by '-13'. a = -1.153846154 Simplifying a = -1.153846154
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