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Simplifying 4t + 7 = 6t + -1(-33) Reorder the terms: 7 + 4t = 6t + -1(-33) Multiply -1 * -33 7 + 4t = 6t + 33 Reorder the terms: 7 + 4t = 33 + 6t Solving 7 + 4t = 33 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 7 + 4t + -6t = 33 + 6t + -6t Combine like terms: 4t + -6t = -2t 7 + -2t = 33 + 6t + -6t Combine like terms: 6t + -6t = 0 7 + -2t = 33 + 0 7 + -2t = 33 Add '-7' to each side of the equation. 7 + -7 + -2t = 33 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = 33 + -7 -2t = 33 + -7 Combine like terms: 33 + -7 = 26 -2t = 26 Divide each side by '-2'. t = -13 Simplifying t = -13
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