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Simplifying 4t + -1.5(a + 8) = 10 Reorder the terms: 4t + -1.5(8 + a) = 10 4t + (8 * -1.5 + a * -1.5) = 10 4t + (-12 + -1.5a) = 10 Reorder the terms: -12 + -1.5a + 4t = 10 Solving -12 + -1.5a + 4t = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1.5a + 12 + 4t = 10 + 12 Reorder the terms: -12 + 12 + -1.5a + 4t = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -1.5a + 4t = 10 + 12 -1.5a + 4t = 10 + 12 Combine like terms: 10 + 12 = 22 -1.5a + 4t = 22 Add '-4t' to each side of the equation. -1.5a + 4t + -4t = 22 + -4t Combine like terms: 4t + -4t = 0 -1.5a + 0 = 22 + -4t -1.5a = 22 + -4t Divide each side by '-1.5'. a = -14.66666667 + 2.666666667t Simplifying a = -14.66666667 + 2.666666667t
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