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Simplifying 10a + -10 = 14a + -38 Reorder the terms: -10 + 10a = 14a + -38 Reorder the terms: -10 + 10a = -38 + 14a Solving -10 + 10a = -38 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -10 + 10a + -14a = -38 + 14a + -14a Combine like terms: 10a + -14a = -4a -10 + -4a = -38 + 14a + -14a Combine like terms: 14a + -14a = 0 -10 + -4a = -38 + 0 -10 + -4a = -38 Add '10' to each side of the equation. -10 + 10 + -4a = -38 + 10 Combine like terms: -10 + 10 = 0 0 + -4a = -38 + 10 -4a = -38 + 10 Combine like terms: -38 + 10 = -28 -4a = -28 Divide each side by '-4'. a = 7 Simplifying a = 7
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