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Simplifying 8a + -3 + 16 = 10a + 5 Reorder the terms: -3 + 16 + 8a = 10a + 5 Combine like terms: -3 + 16 = 13 13 + 8a = 10a + 5 Reorder the terms: 13 + 8a = 5 + 10a Solving 13 + 8a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 13 + 8a + -10a = 5 + 10a + -10a Combine like terms: 8a + -10a = -2a 13 + -2a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 13 + -2a = 5 + 0 13 + -2a = 5 Add '-13' to each side of the equation. 13 + -13 + -2a = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -2a = 5 + -13 -2a = 5 + -13 Combine like terms: 5 + -13 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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