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Simplifying 2a + -10 = 5(a + 1) + 14a + 7 Reorder the terms: -10 + 2a = 5(a + 1) + 14a + 7 Reorder the terms: -10 + 2a = 5(1 + a) + 14a + 7 -10 + 2a = (1 * 5 + a * 5) + 14a + 7 -10 + 2a = (5 + 5a) + 14a + 7 Reorder the terms: -10 + 2a = 5 + 7 + 5a + 14a Combine like terms: 5 + 7 = 12 -10 + 2a = 12 + 5a + 14a Combine like terms: 5a + 14a = 19a -10 + 2a = 12 + 19a Solving -10 + 2a = 12 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -10 + 2a + -19a = 12 + 19a + -19a Combine like terms: 2a + -19a = -17a -10 + -17a = 12 + 19a + -19a Combine like terms: 19a + -19a = 0 -10 + -17a = 12 + 0 -10 + -17a = 12 Add '10' to each side of the equation. -10 + 10 + -17a = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -17a = 12 + 10 -17a = 12 + 10 Combine like terms: 12 + 10 = 22 -17a = 22 Divide each side by '-17'. a = -1.294117647 Simplifying a = -1.294117647
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