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Simplifying 3(4 + -6) + -10(t + 1) = 4 Combine like terms: 4 + -6 = -2 3(-2) + -10(t + 1) = 4 Multiply 3 * -2 -6 + -10(t + 1) = 4 Reorder the terms: -6 + -10(1 + t) = 4 -6 + (1 * -10 + t * -10) = 4 -6 + (-10 + -10t) = 4 Combine like terms: -6 + -10 = -16 -16 + -10t = 4 Solving -16 + -10t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -10t = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -10t = 4 + 16 -10t = 4 + 16 Combine like terms: 4 + 16 = 20 -10t = 20 Divide each side by '-10'. t = -2 Simplifying t = -2
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